88548768000 has 1440 divisors, whose sum is σ = 410824377600. Its totient is φ = 18399744000.

The previous prime is 88548767929. The next prime is 88548768029. The reversal of 88548768000 is 86784588.

88548768000 is a `hidden beast` number, since 8 + 85 + 487 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8049887995 + ... + 8049888005.

Almost surely, 2^88548768000 is an apocalyptic number.

88548768000 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 88548768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205412188800).

88548768000 is an abundant number, since it is smaller than the sum of its proper divisors (322275609600).

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

88548768000 is an frugal number, since it uses more digits than its factorization.

88548768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 88548768000 in words is "eighty-eight billion, five hundred forty-eight million, seven hundred sixty-eight thousand".