88792296069120 has 1920 divisors, whose sum is σ = 369450842342400. Its totient is φ = 18091336531968.

The previous prime is 88792296069091. The next prime is 88792296069143. The reversal of 88792296069120 is 2196069229788.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23824064697 + ... + 23824068423.

It is an arithmetic number, because the mean of its divisors is an integer number (192422313720).

Almost surely, 2^{88792296069120} is an apocalyptic number.

88792296069120 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 88792296069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184725421171200).

88792296069120 is an abundant number, since it is smaller than the sum of its proper divisors (280658546273280).

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

88792296069120 is a wasteful number, since it uses less digits than its factorization.

88792296069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 88792296069120 in words is "eighty-eight trillion, seven hundred ninety-two billion, two hundred ninety-six million, sixty-nine thousand, one hundred twenty".