88456015872 has 416 divisors, whose sum is σ = 301764303360. Its totient is φ = 25082265600.

The previous prime is 88456015871. The next prime is 88456015889. The reversal of 88456015872 is 27851065488.

88456015872 is a `hidden beast` number, since 8 + 8 + 4 + 56 + 0 + 1 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88456015871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126185122 + ... + 126185822.

It is an arithmetic number, because the mean of its divisors is an integer number (725394960).

Almost surely, 2^88456015872 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 88456015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150882151680).

88456015872 is an abundant number, since it is smaller than the sum of its proper divisors (213308287488).

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

88456015872 is a wasteful number, since it uses less digits than its factorization.

88456015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 88456015872 in words is "eighty-eight billion, four hundred fifty-six million, fifteen thousand, eight hundred seventy-two".