88102992384 has 600 divisors, whose sum is σ = 293636547204. Its totient is φ = 26276659200.

The previous prime is 88102992379. The next prime is 88102992389. The reversal of 88102992384 is 48329920188.

It is an interprime number because it is at equal distance from previous prime (88102992379) and next prime (88102992389).

It can be written as a sum of positive squares in 2 ways, for example, as 76839840000 + 11263152384 = 277200^2 + 106128^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 88102992384.

It is not an unprimeable number, because it can be changed into a prime (88102992389) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 486756774 + ... + 486756954.

Almost surely, 2^88102992384 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 88102992384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146818273602).

88102992384 is an abundant number, since it is smaller than the sum of its proper divisors (205533554820).

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

88102992384 is a wasteful number, since it uses less digits than its factorization.

88102992384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 88102992384 in words is "eighty-eight billion, one hundred two million, nine hundred ninety-two thousand, three hundred eighty-four".