88768667340801 has 96 divisors (see below), whose sum is σ = 157101492387840. Its totient is φ = 47190509891712.

The previous prime is 88768667340799. The next prime is 88768667340863. The reversal of 88768667340801 is 10804376686788.

88768667340801 is a `hidden beast` number, since 8 + 8 + 76 + 86 + 6 + 73 + 408 + 0 + 1 = 666.

It is not a de Polignac number, because 88768667340801 - 2¹ = 88768667340799 is a prime.

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 self number, because there is not a number n which added to its sum of digits gives 88768667340801.

It is not an unprimeable number, because it can be changed into a prime (88768667344801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143535120 + ... + 144152238.

It is an arithmetic number, because the mean of its divisors is an integer number (1636473879040).

Almost surely, 2^{88768667340801} is an apocalyptic number.

It is an amenable number.

88768667340801 is a deficient number, since it is larger than the sum of its proper divisors (68332825047039).

88768667340801 is a wasteful number, since it uses less digits than its factorization.

88768667340801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619875 (or 619872 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 88768667340801 in words is "eighty-eight trillion, seven hundred sixty-eight billion, six hundred sixty-seven million, three hundred forty thousand, eight hundred one".