88871904000 has 864 divisors, whose sum is σ = 362127467520. Its totient is φ = 21523968000.

The previous prime is 88871903983. The next prime is 88871904007. The reversal of 88871904000 is 40917888.

88871904000 is a `hidden beast` number, since 88 + 87 + 1 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88871904007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85535481 + ... + 85536519.

Almost surely, 2^88871904000 is an apocalyptic number.

88871904000 is a gapful number since it is divisible by the number (80) 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 88871904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181063733760).

88871904000 is an abundant number, since it is smaller than the sum of its proper divisors (273255563520).

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

88871904000 is a wasteful number, since it uses less digits than its factorization.

88871904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 88871904000 in words is "eighty-eight billion, eight hundred seventy-one million, nine hundred four thousand".