96129059475456 has 832 divisors, whose sum is σ = 330150403891200. Its totient is φ = 27072252739584.

The previous prime is 96129059475433. The next prime is 96129059475473. The reversal of 96129059475456 is 65457495092169.

96129059475456 is a `hidden beast` number, since 9 + 6 + 1 + 29 + 0 + 59 + 4 + 7 + 545 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55469739166 + ... + 55469740898.

Almost surely, 2^{96129059475456} is an apocalyptic number.

96129059475456 is a gapful number since it is divisible by the number (96) 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 96129059475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165075201945600).

96129059475456 is an abundant number, since it is smaller than the sum of its proper divisors (234021344415744).

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

96129059475456 is a wasteful number, since it uses less digits than its factorization.

96129059475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 96129059475456 in words is "ninety-six trillion, one hundred twenty-nine billion, fifty-nine million, four hundred seventy-five thousand, four hundred fifty-six".