88264294272 has 640 divisors, whose sum is σ = 331871443200. Its totient is φ = 22902082560.

The previous prime is 88264294267. The next prime is 88264294273. The reversal of 88264294272 is 27249246288.

88264294272 is a `hidden beast` number, since 8 + 82 + 6 + 4 + 294 + 272 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88264294273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91275933 + ... + 91276899.

It is an arithmetic number, because the mean of its divisors is an integer number (518549130).

Almost surely, 2^88264294272 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 88264294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165935721600).

88264294272 is an abundant number, since it is smaller than the sum of its proper divisors (243607148928).

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

88264294272 is an equidigital number, since it uses as much as digits as its factorization.

88264294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 990 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 88264294272 in words is "eighty-eight billion, two hundred sixty-four million, two hundred ninety-four thousand, two hundred seventy-two".