88007617152 has 1536 divisors, whose sum is σ = 359280230400. Its totient is φ = 20782448640.

The previous prime is 88007617099. The next prime is 88007617163. The reversal of 88007617152 is 25171670088.

It is a happy number.

It is a super-2 number, since 2×88007617152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88007617098 and 88007617107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1491654499 + ... + 1491654557.

It is an arithmetic number, because the mean of its divisors is an integer number (233906400).

Almost surely, 2^88007617152 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 88007617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179640115200).

88007617152 is an abundant number, since it is smaller than the sum of its proper divisors (271272613248).

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

88007617152 is a wasteful number, since it uses less digits than its factorization.

88007617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 88007617152 in words is "eighty-eight billion, seven million, six hundred seventeen thousand, one hundred fifty-two".