88323056640 has 2112 divisors, whose sum is σ = 423404755200. Its totient is φ = 17241735168.

The previous prime is 88323056579. The next prime is 88323056641. The reversal of 88323056640 is 4665032388.

It is a happy number.

88323056640 is a `hidden beast` number, since 8 + 83 + 2 + 3 + 0 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88323056641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1497000931 + ... + 1497000989.

Almost surely, 2^88323056640 is an apocalyptic number.

88323056640 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 88323056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211702377600).

88323056640 is an abundant number, since it is smaller than the sum of its proper divisors (335081698560).

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

88323056640 is a wasteful number, since it uses less digits than its factorization.

88323056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 88323056640 in words is "eighty-eight billion, three hundred twenty-three million, fifty-six thousand, six hundred forty".