88364896000 has 576 divisors, whose sum is σ = 247948646400. Its totient is φ = 31223808000.

The previous prime is 88364895989. The next prime is 88364896001. The reversal of 88364896000 is 69846388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88364896001) 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, 992863956 + ... + 992864044.

It is an arithmetic number, because the mean of its divisors is an integer number (430466400).

Almost surely, 2^88364896000 is an apocalyptic number.

88364896000 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 88364896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123974323200).

88364896000 is an abundant number, since it is smaller than the sum of its proper divisors (159583750400).

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

88364896000 is a wasteful number, since it uses less digits than its factorization.

88364896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 88364896000 in words is "eighty-eight billion, three hundred sixty-four million, eight hundred ninety-six thousand".