88629855541920 has 864 divisors, whose sum is σ = 385802638079040. Its totient is φ = 18321139630080.

The previous prime is 88629855541891. The next prime is 88629855541939. The reversal of 88629855541920 is 2914555892688.

It is a happy number.

88629855541920 is a `hidden beast` number, since 8 + 8 + 6 + 2 + 9 + 8 + 55 + 541 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149503051 + ... + 150094709.

It is an arithmetic number, because the mean of its divisors is an integer number (446530831110).

Almost surely, 2^{88629855541920} is an apocalyptic number.

88629855541920 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 88629855541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192901319039520).

88629855541920 is an abundant number, since it is smaller than the sum of its proper divisors (297172782537120).

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

88629855541920 is a wasteful number, since it uses less digits than its factorization.

88629855541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591898 (or 591880 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 88629855541920 in words is "eighty-eight trillion, six hundred twenty-nine billion, eight hundred fifty-five million, five hundred forty-one thousand, nine hundred twenty".