88963805952 has 720 divisors, whose sum is σ = 331643676672. Its totient is φ = 23131422720.

The previous prime is 88963805947. The next prime is 88963806011. The reversal of 88963805952 is 25950836988.

88963805952 is a `hidden beast` number, since 8 + 8 + 9 + 6 + 38 + 0 + 595 + 2 = 666.

It is a super-2 number, since 2×88963805952² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88963805952.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76494523 + ... + 76495685.

Almost surely, 2^88963805952 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 88963805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165821838336).

88963805952 is an abundant number, since it is smaller than the sum of its proper divisors (242679870720).

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

88963805952 is a wasteful number, since it uses less digits than its factorization.

88963805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 88963805952 in words is "eighty-eight billion, nine hundred sixty-three million, eight hundred five thousand, nine hundred fifty-two".