88982661922560 has 2016 divisors, whose sum is σ = 373820998828032. Its totient is φ = 19865154355200.

The previous prime is 88982661922543. The next prime is 88982661922589. The reversal of 88982661922560 is 6522916628988.

88982661922560 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 26 + 6 + 19 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×88982661922560³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 55579425760 + ... + 55579427360.

It is an arithmetic number, because the mean of its divisors is an integer number (185427082752).

Almost surely, 2^{88982661922560} is an apocalyptic number.

88982661922560 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 88982661922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186910499414016).

88982661922560 is an abundant number, since it is smaller than the sum of its proper divisors (284838336905472).

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

88982661922560 is a wasteful number, since it uses less digits than its factorization.

88982661922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 88982661922560 in words is "eighty-eight trillion, nine hundred eighty-two billion, six hundred sixty-one million, nine hundred twenty-two thousand, five hundred sixty".