88855107148800 has 1056 divisors, whose sum is σ = 340619529877440. Its totient is φ = 22675960627200.

The previous prime is 88855107148777. The next prime is 88855107148813. The reversal of 88855107148800 is 884170155888.

88855107148800 is a `hidden beast` number, since 8 + 8 + 8 + 5 + 510 + 71 + 48 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560009922 + ... + 1560066878.

It is an arithmetic number, because the mean of its divisors is an integer number (322556372990).

Almost surely, 2^{88855107148800} is an apocalyptic number.

88855107148800 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 88855107148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170309764938720).

88855107148800 is an abundant number, since it is smaller than the sum of its proper divisors (251764422728640).

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

88855107148800 is a wasteful number, since it uses less digits than its factorization.

88855107148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57094 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 63.

The spelling of 88855107148800 in words is "eighty-eight trillion, eight hundred fifty-five billion, one hundred seven million, one hundred forty-eight thousand, eight hundred".