88175252745216 has 3960 divisors, whose sum is σ = 363378823114320. Its totient is φ = 20451076079616.

The previous prime is 88175252745059. The next prime is 88175252745221. The reversal of 88175252745216 is 61254725257188.

It is a happy number.

88175252745216 is a `hidden beast` number, since 8 + 8 + 1 + 7 + 52 + 52 + 7 + 4 + 521 + 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 359 ways as a sum of consecutive naturals, for example, 1207880174556 + ... + 1207880174628.

Almost surely, 2^{88175252745216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88175252745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181689411557160).

88175252745216 is an abundant number, since it is smaller than the sum of its proper divisors (275203570369104).

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

88175252745216 is a wasteful number, since it uses less digits than its factorization.

88175252745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 134 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 63.

The spelling of 88175252745216 in words is "eighty-eight trillion, one hundred seventy-five billion, two hundred fifty-two million, seven hundred forty-five thousand, two hundred sixteen".