88651648800 has 1008 divisors, whose sum is σ = 381569203008. Its totient is φ = 19819468800.

The previous prime is 88651648783. The next prime is 88651648819. The reversal of 88651648800 is 884615688.

88651648800 is a `hidden beast` number, since 8 + 8 + 6 + 516 + 48 + 80 + 0 = 666.

It is a super-2 number, since 2×88651648800² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83397069 + ... + 83398131.

It is an arithmetic number, because the mean of its divisors is an integer number (378540876).

Almost surely, 2^88651648800 is an apocalyptic number.

88651648800 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 88651648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190784601504).

88651648800 is an abundant number, since it is smaller than the sum of its proper divisors (292917554208).

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

88651648800 is a wasteful number, since it uses less digits than its factorization.

88651648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 88651648800 in words is "eighty-eight billion, six hundred fifty-one million, six hundred forty-eight thousand, eight hundred".