289113995520 has 1152 divisors, whose sum is σ = 1274671104000. Its totient is φ = 60555755520.

The previous prime is 289113995519. The next prime is 289113995581. The reversal of 289113995520 is 25599311982.

It is a happy number.

289113995520 is a `hidden beast` number, since 2 + 89 + 1 + 1 + 3 + 9 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142489866 + ... + 142491894.

Almost surely, 2^289113995520 is an apocalyptic number.

289113995520 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 289113995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637335552000).

289113995520 is an abundant number, since it is smaller than the sum of its proper divisors (985557108480).

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

289113995520 is a wasteful number, since it uses less digits than its factorization.

289113995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 289113995520 in words is "two hundred eighty-nine billion, one hundred thirteen million, nine hundred ninety-five thousand, five hundred twenty".