88317335821120 has 448 divisors, whose sum is σ = 245260004580864. Its totient is φ = 29666932162560.

The previous prime is 88317335820937. The next prime is 88317335821139. The reversal of 88317335821120 is 2112853371388.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23113668810 + ... + 23113672630.

It is an arithmetic number, because the mean of its divisors is an integer number (547455367368).

Almost surely, 2^{88317335821120} is an apocalyptic number.

88317335821120 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 88317335821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122630002290432).

88317335821120 is an abundant number, since it is smaller than the sum of its proper divisors (156942668759744).

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

88317335821120 is a wasteful number, since it uses less digits than its factorization.

88317335821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 88317335821120 in words is "eighty-eight trillion, three hundred seventeen billion, three hundred thirty-five million, eight hundred twenty-one thousand, one hundred twenty".