289961427536640 has 1728 divisors, whose sum is σ = 1062635993362944. Its totient is φ = 72927271452672.

The previous prime is 289961427536633. The next prime is 289961427536647. The reversal of 289961427536640 is 46635724169982.

289961427536640 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 6 + 1 + 4 + 27 + 536 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (289961427536633) and next prime (289961427536647).

It is a super-2 number, since 2×289961427536640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (289961427536647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 654540468259 + ... + 654540468701.

It is an arithmetic number, because the mean of its divisors is an integer number (614951385048).

It is a 1-persistent number, because it is pandigital, but 2⋅289961427536640 = 579922855073280 is not.

Almost surely, 2^{289961427536640} is an apocalyptic number.

289961427536640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289961427536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531317996681472).

289961427536640 is an abundant number, since it is smaller than the sum of its proper divisors (772674565826304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289961427536640 is a wasteful number, since it uses less digits than its factorization.

289961427536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 289961427536640 in words is "two hundred eighty-nine trillion, nine hundred sixty-one billion, four hundred twenty-seven million, five hundred thirty-six thousand, six hundred forty".