88697954880 has 392 divisors, whose sum is σ = 317715058752. Its totient is φ = 23575090176.

The previous prime is 88697954833. The next prime is 88697954887. The reversal of 88697954880 is 8845979688.

88697954880 is a `hidden beast` number, since 8 + 8 + 6 + 9 + 79 + 548 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88697954799 and 88697954808.

It is not an unprimeable number, because it can be changed into a prime (88697954887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 122005077 + ... + 122005803.

Almost surely, 2^88697954880 is an apocalyptic number.

88697954880 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 88697954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158857529376).

88697954880 is an abundant number, since it is smaller than the sum of its proper divisors (229017103872).

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

88697954880 is an equidigital number, since it uses as much as digits as its factorization.

88697954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 88697954880 in words is "eighty-eight billion, six hundred ninety-seven million, nine hundred fifty-four thousand, eight hundred eighty".