88154855712 has 1296 divisors, whose sum is σ = 356217432480. Its totient is φ = 21163161600.

The previous prime is 88154855647. The next prime is 88154855741. The reversal of 88154855712 is 21755845188.

It is a happy number.

88154855712 is a `hidden beast` number, since 8 + 81 + 5 + 4 + 8 + 557 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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 215 ways as a sum of consecutive naturals, for example, 2150118412 + ... + 2150118452.

It is an arithmetic number, because the mean of its divisors is an integer number (274859130).

Almost surely, 2^88154855712 is an apocalyptic number.

88154855712 is a gapful number since it is divisible by the number (82) 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 88154855712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178108716240).

88154855712 is an abundant number, since it is smaller than the sum of its proper divisors (268062576768).

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

88154855712 is a wasteful number, since it uses less digits than its factorization.

88154855712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 54.

The spelling of 88154855712 in words is "eighty-eight billion, one hundred fifty-four million, eight hundred fifty-five thousand, seven hundred twelve".