88291594003968 has 320 divisors, whose sum is σ = 276805508760000. Its totient is φ = 27691038277632.

The previous prime is 88291594003919. The next prime is 88291594003969. The reversal of 88291594003968 is 86930049519288.

88291594003968 is a `hidden beast` number, since 8 + 8 + 2 + 9 + 159 + 400 + 3 + 9 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88291594003896 and 88291594003905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88291594003969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810488128 + ... + 810597056.

It is an arithmetic number, because the mean of its divisors is an integer number (865017214875).

Almost surely, 2^{88291594003968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88291594003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138402754380000).

88291594003968 is an abundant number, since it is smaller than the sum of its proper divisors (188513914756032).

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

88291594003968 is a wasteful number, since it uses less digits than its factorization.

88291594003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112422 (or 112400 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 88291594003968 in words is "eighty-eight trillion, two hundred ninety-one billion, five hundred ninety-four million, three thousand, nine hundred sixty-eight".