88983752132000 has 192 divisors, whose sum is σ = 238552804159488. Its totient is φ = 32351760000000.

The previous prime is 88983752131987. The next prime is 88983752132017. The reversal of 88983752132000 is 23125738988.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241948250 + ... + 242315750.

It is an arithmetic number, because the mean of its divisors is an integer number (1242462521664).

Almost surely, 2^{88983752132000} is an apocalyptic number.

88983752132000 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 88983752132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119276402079744).

88983752132000 is an abundant number, since it is smaller than the sum of its proper divisors (149569052027488).

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

88983752132000 is a wasteful number, since it uses less digits than its factorization.

88983752132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373040 (or 373022 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 88983752132000 in words is "eighty-eight trillion, nine hundred eighty-three billion, seven hundred fifty-two million, one hundred thirty-two thousand".