88520380416 has 416 divisors, whose sum is σ = 294813093120. Its totient is φ = 26043088896.

The previous prime is 88520380387. The next prime is 88520380447. The reversal of 88520380416 is 61408302588.

88520380416 is a `hidden beast` number, since 8 + 8 + 520 + 3 + 80 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33065670 + ... + 33068346.

It is an arithmetic number, because the mean of its divisors is an integer number (708685320).

Almost surely, 2^88520380416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88520380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147406546560).

88520380416 is an abundant number, since it is smaller than the sum of its proper divisors (206292712704).

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

88520380416 is a wasteful number, since it uses less digits than its factorization.

88520380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 88520380416 in words is "eighty-eight billion, five hundred twenty million, three hundred eighty thousand, four hundred sixteen".