96290941286400 has 288 divisors, whose sum is σ = 363799216609920. Its totient is φ = 22009357762560.

The previous prime is 96290941286377. The next prime is 96290941286413. The reversal of 96290941286400 is 468214909269.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43702954 + ... + 45853353.

It is an arithmetic number, because the mean of its divisors is an integer number (1263191724340).

Almost surely, 2^{96290941286400} is an apocalyptic number.

It is an amenable number.

96290941286400 is an abundant number, since it is smaller than the sum of its proper divisors (267508275323520).

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

96290941286400 is a wasteful number, since it uses less digits than its factorization.

96290941286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89556349 (or 89556324 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 96290941286400 in words is "ninety-six trillion, two hundred ninety billion, nine hundred forty-one million, two hundred eighty-six thousand, four hundred".