13389770589840 has 480 divisors, whose sum is σ = 46133350848000. Its totient is φ = 3479350837248.

The previous prime is 13389770589823. The next prime is 13389770589869. The reversal of 13389770589840 is 4898507798331.

13389770589840 is a `hidden beast` number, since 1 + 3 + 38 + 9 + 7 + 7 + 0 + 589 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×13389770589840² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3133573944 + ... + 3133578216.

It is an arithmetic number, because the mean of its divisors is an integer number (96111147600).

Almost surely, 2^{13389770589840} is an apocalyptic number.

13389770589840 is a gapful number since it is divisible by the number (10) 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 13389770589840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066675424000).

13389770589840 is an abundant number, since it is smaller than the sum of its proper divisors (32743580258160).

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

13389770589840 is a wasteful number, since it uses less digits than its factorization.

13389770589840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 13389770589840 in words is "thirteen trillion, three hundred eighty-nine billion, seven hundred seventy million, five hundred eighty-nine thousand, eight hundred forty".