88825145616 has 200 divisors, whose sum is σ = 273663957600. Its totient is φ = 27734192640.

The previous prime is 88825145609. The next prime is 88825145659. The reversal of 88825145616 is 61654152888.

88825145616 is a `hidden beast` number, since 8 + 8 + 8 + 2 + 5 + 14 + 5 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2171271 + ... + 2211801.

It is an arithmetic number, because the mean of its divisors is an integer number (1368319788).

Almost surely, 2^88825145616 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 88825145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136831978800).

88825145616 is an abundant number, since it is smaller than the sum of its proper divisors (184838811984).

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

88825145616 is a wasteful number, since it uses less digits than its factorization.

88825145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40659 (or 40644 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 88825145616 in words is "eighty-eight billion, eight hundred twenty-five million, one hundred forty-five thousand, six hundred sixteen".