88264573920 has 576 divisors, whose sum is σ = 332590841856. Its totient is φ = 21218181120.

The previous prime is 88264573829. The next prime is 88264573921. The reversal of 88264573920 is 2937546288.

88264573920 is a `hidden beast` number, since 8 + 8 + 2 + 64 + 573 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88264573921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81199617 + ... + 81200703.

It is an arithmetic number, because the mean of its divisors is an integer number (577414656).

Almost surely, 2^88264573920 is an apocalyptic number.

88264573920 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 88264573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166295420928).

88264573920 is an abundant number, since it is smaller than the sum of its proper divisors (244326267936).

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

88264573920 is a wasteful number, since it uses less digits than its factorization.

88264573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 88264573920 in words is "eighty-eight billion, two hundred sixty-four million, five hundred seventy-three thousand, nine hundred twenty".