96525489715200 has 4608 divisors, whose sum is σ = 462596191948800. Its totient is φ = 19171450552320.

The previous prime is 96525489715189. The next prime is 96525489715211. The reversal of 96525489715200 is 251798452569.

96525489715200 is a `hidden beast` number, since 9 + 6 + 5 + 25 + 4 + 89 + 7 + 1 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96525489715189) and next prime (96525489715211).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×96525489715200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 211215513372 + ... + 211215513828.

It is an arithmetic number, because the mean of its divisors is an integer number (100389798600).

Almost surely, 2^{96525489715200} is an apocalyptic number.

96525489715200 is a gapful number since it is divisible by the number (90) 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 96525489715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231298095974400).

96525489715200 is an abundant number, since it is smaller than the sum of its proper divisors (366070702233600).

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

96525489715200 is a wasteful number, since it uses less digits than its factorization.

96525489715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 96525489715200 in words is "ninety-six trillion, five hundred twenty-five billion, four hundred eighty-nine million, seven hundred fifteen thousand, two hundred".