88551262800 has 960 divisors, whose sum is σ = 423226245120. Its totient is φ = 16982784000.

The previous prime is 88551262783. The next prime is 88551262829. The reversal of 88551262800 is 826215588.

88551262800 is a `hidden beast` number, since 8 + 8 + 5 + 5 + 12 + 628 + 0 + 0 = 666.

It is a super-2 number, since 2×88551262800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10806705 + ... + 10814895.

It is an arithmetic number, because the mean of its divisors is an integer number (440860672).

Almost surely, 2^88551262800 is an apocalyptic number.

88551262800 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 88551262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211613122560).

88551262800 is an abundant number, since it is smaller than the sum of its proper divisors (334674982320).

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

88551262800 is a wasteful number, since it uses less digits than its factorization.

88551262800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 88551262800 in words is "eighty-eight billion, five hundred fifty-one million, two hundred sixty-two thousand, eight hundred".