88982820864000 has 4320 divisors, whose sum is σ = 400893780530880. Its totient is φ = 19619905536000.

The previous prime is 88982820863999. The next prime is 88982820864037. The reversal of 88982820864000 is 46802828988.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 999806975956 + ... + 999806976044.

It is an arithmetic number, because the mean of its divisors is an integer number (92799486234).

Almost surely, 2^{88982820864000} is an apocalyptic number.

88982820864000 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 88982820864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200446890265440).

88982820864000 is an abundant number, since it is smaller than the sum of its proper divisors (311910959666880).

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

88982820864000 is an frugal number, since it uses more digits than its factorization.

88982820864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 88982820864000 in words is "eighty-eight trillion, nine hundred eighty-two billion, eight hundred twenty million, eight hundred sixty-four thousand".