96225400758816 has 768 divisors, whose sum is σ = 327030359040000. Its totient is φ = 26961330401280.

The previous prime is 96225400758793. The next prime is 96225400758827. The reversal of 96225400758816 is 61885700452269.

96225400758816 is a `hidden beast` number, since 9 + 6 + 2 + 2 + 5 + 40 + 0 + 7 + 588 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30155247781 + ... + 30155250971.

It is an arithmetic number, because the mean of its divisors is an integer number (425820780000).

Almost surely, 2^{96225400758816} is an apocalyptic number.

96225400758816 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 96225400758816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163515179520000).

96225400758816 is an abundant number, since it is smaller than the sum of its proper divisors (230804958281184).

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

96225400758816 is a wasteful number, since it uses less digits than its factorization.

96225400758816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 96225400758816 in words is "ninety-six trillion, two hundred twenty-five billion, four hundred million, seven hundred fifty-eight thousand, eight hundred sixteen".