88534863318528 has 1920 divisors, whose sum is σ = 314414889909120. Its totient is φ = 23668457472000.

The previous prime is 88534863318493. The next prime is 88534863318571. The reversal of 88534863318528 is 82581336843588.

88534863318528 is a `hidden beast` number, since 8 + 8 + 5 + 3 + 4 + 8 + 63 + 31 + 8 + 528 = 666.

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

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, 116340161668 + ... + 116340162428.

It is an arithmetic number, because the mean of its divisors is an integer number (163757755161).

Almost surely, 2^{88534863318528} is an apocalyptic number.

88534863318528 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 88534863318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157207444954560).

88534863318528 is an abundant number, since it is smaller than the sum of its proper divisors (225880026590592).

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

88534863318528 is a wasteful number, since it uses less digits than its factorization.

88534863318528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 961 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 88534863318528 in words is "eighty-eight trillion, five hundred thirty-four billion, eight hundred sixty-three million, three hundred eighteen thousand, five hundred twenty-eight".