88943792857920 has 5376 divisors, whose sum is σ = 455859855360000. Its totient is φ = 15626251468800.

The previous prime is 88943792857919. The next prime is 88943792857943. The reversal of 88943792857920 is 2975829734988.

88943792857920 is a `hidden beast` number, since 8 + 8 + 9 + 4 + 37 + 9 + 2 + 8 + 579 + 2 + 0 = 666.

88943792857920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 88943792857920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 83202799146 + ... + 83202800214.

It is an arithmetic number, because the mean of its divisors is an integer number (84795360000).

Almost surely, 2^{88943792857920} is an apocalyptic number.

88943792857920 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 88943792857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227929927680000).

88943792857920 is an abundant number, since it is smaller than the sum of its proper divisors (366916062502080).

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

88943792857920 is a wasteful number, since it uses less digits than its factorization.

88943792857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 88943792857920 in words is "eighty-eight trillion, nine hundred forty-three billion, seven hundred ninety-two million, eight hundred fifty-seven thousand, nine hundred twenty".