88768667340792 has 192 divisors, whose sum is σ = 245799043776000. Its totient is φ = 28930943238912.

The previous prime is 88768667340721. The next prime is 88768667340799. The reversal of 88768667340792 is 29704376686788.

88768667340792 is a `hidden beast` number, since 8 + 8 + 7 + 68 + 6 + 67 + 3 + 407 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88768667340799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438986573 + ... + 1439048259.

It is an arithmetic number, because the mean of its divisors is an integer number (1280203353000).

Almost surely, 2^{88768667340792} 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 88768667340792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122899521888000).

88768667340792 is an abundant number, since it is smaller than the sum of its proper divisors (157030376435208).

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

88768667340792 is a wasteful number, since it uses less digits than its factorization.

88768667340792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63050 (or 63043 counting only the distinct ones).

The product of its (nonzero) digits is 8193540096, while the sum is 81.

The spelling of 88768667340792 in words is "eighty-eight trillion, seven hundred sixty-eight billion, six hundred sixty-seven million, three hundred forty thousand, seven hundred ninety-two".