88772320493568 has 1088 divisors, whose sum is σ = 300054863462400. Its totient is φ = 25773704478720.

The previous prime is 88772320493561. The next prime is 88772320493603. The reversal of 88772320493568 is 86539402327788.

88772320493568 is a `hidden beast` number, since 8 + 8 + 7 + 72 + 3 + 2 + 0 + 493 + 5 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

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 = 88772320493496 and 88772320493505.

It is not an unprimeable number, because it can be changed into a prime (88772320493561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21447768043 + ... + 21447772181.

Almost surely, 2^{88772320493568} 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 88772320493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150027431731200).

88772320493568 is an abundant number, since it is smaller than the sum of its proper divisors (211282542968832).

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

88772320493568 is a wasteful number, since it uses less digits than its factorization.

88772320493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 88772320493568 in words is "eighty-eight trillion, seven hundred seventy-two billion, three hundred twenty million, four hundred ninety-three thousand, five hundred sixty-eight".