88038833904000 has 2688 divisors, whose sum is σ = 394154204371200. Its totient is φ = 19470108672000.

The previous prime is 88038833903983. The next prime is 88038833904019. The reversal of 88038833904000 is 40933883088.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17717613516 + ... + 17717618484.

It is an arithmetic number, because the mean of its divisors is an integer number (146634748650).

Almost surely, 2^{88038833904000} is an apocalyptic number.

88038833904000 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 88038833904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197077102185600).

88038833904000 is an abundant number, since it is smaller than the sum of its proper divisors (306115370467200).

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

88038833904000 is an equidigital number, since it uses as much as digits as its factorization.

88038833904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 88038833904000 in words is "eighty-eight trillion, thirty-eight billion, eight hundred thirty-three million, nine hundred four thousand".