88135691764968 has 256 divisors, whose sum is σ = 258727219200000. Its totient is φ = 27761393537280.

The previous prime is 88135691764957. The next prime is 88135691764973. The reversal of 88135691764968 is 86946719653188.

It is a happy number.

88135691764968 is a `hidden beast` number, since 8 + 8 + 1 + 3 + 56 + 9 + 1 + 76 + 496 + 8 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58115905 + ... + 59613167.

It is an arithmetic number, because the mean of its divisors is an integer number (1010653200000).

Almost surely, 2^{88135691764968} 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 88135691764968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129363609600000).

88135691764968 is an abundant number, since it is smaller than the sum of its proper divisors (170591527435032).

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

88135691764968 is a wasteful number, since it uses less digits than its factorization.

88135691764968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497517 (or 1497507 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 88135691764968 in words is "eighty-eight trillion, one hundred thirty-five billion, six hundred ninety-one million, seven hundred sixty-four thousand, nine hundred sixty-eight".