88354240128 has 512 divisors, whose sum is σ = 329207040000. Its totient is φ = 22943554560.

The previous prime is 88354240127. The next prime is 88354240129. The reversal of 88354240128 is 82104245388.

88354240128 is a `hidden beast` number, since 8 + 83 + 542 + 4 + 0 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (88354240127) and next prime (88354240129).

It is not an unprimeable number, because it can be changed into a prime (88354240127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21553023 + ... + 21557121.

It is an arithmetic number, because the mean of its divisors is an integer number (642982500).

Almost surely, 2^88354240128 is an apocalyptic number.

88354240128 is a gapful number since it is divisible by the number (88) 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 88354240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164603520000).

88354240128 is an abundant number, since it is smaller than the sum of its proper divisors (240852799872).

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

88354240128 is an equidigital number, since it uses as much as digits as its factorization.

88354240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 88354240128 in words is "eighty-eight billion, three hundred fifty-four million, two hundred forty thousand, one hundred twenty-eight".