88312980624 has 120 divisors (see below), whose sum is σ = 251589418080. Its totient is φ = 26673799680.

The previous prime is 88312980559. The next prime is 88312980629. The reversal of 88312980624 is 42608921388.

It is a Cunningham number, because it is equal to 297175²-1.

It is not an unprimeable number, because it can be changed into a prime (88312980629) 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 23 ways as a sum of consecutive naturals, for example, 1758292 + ... + 1807820.

It is an arithmetic number, because the mean of its divisors is an integer number (2096578484).

Almost surely, 2^88312980624 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 88312980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125794709040).

88312980624 is an abundant number, since it is smaller than the sum of its proper divisors (163276437456).

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

88312980624 is a wasteful number, since it uses less digits than its factorization.

88312980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49869 (or 49852 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 88312980624 in words is "eighty-eight billion, three hundred twelve million, nine hundred eighty thousand, six hundred twenty-four".