88325498806272 has 3024 divisors, whose sum is σ = 351036485916480. Its totient is φ = 21149366353920.

The previous prime is 88325498806267. The next prime is 88325498806309. The reversal of 88325498806272 is 27260889452388.

88325498806272 is a `hidden beast` number, since 8 + 8 + 3 + 2 + 5 + 498 + 8 + 0 + 62 + 72 = 666.

88325498806272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88325498806272.

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 857529114573 + ... + 857529114675.

It is an arithmetic number, because the mean of its divisors is an integer number (116083494020).

Almost surely, 2^{88325498806272} 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 88325498806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175518242958240).

88325498806272 is an abundant number, since it is smaller than the sum of its proper divisors (262710987110208).

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

88325498806272 is a wasteful number, since it uses less digits than its factorization.

88325498806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 88325498806272 in words is "eighty-eight trillion, three hundred twenty-five billion, four hundred ninety-eight million, eight hundred six thousand, two hundred seventy-two".