88001017630761 has 32 divisors (see below), whose sum is σ = 119482457697792. Its totient is φ = 57602233831680.

The previous prime is 88001017630741. The next prime is 88001017630849. The reversal of 88001017630761 is 16703671010088.

It is a happy number.

It is not a de Polignac number, because 88001017630761 - 2¹⁰ = 88001017629737 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 88001017630761.

It is not an unprimeable number, because it can be changed into a prime (88001017630741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1248542641 + ... + 1248613121.

It is an arithmetic number, because the mean of its divisors is an integer number (3733826803056).

Almost surely, 2^{88001017630761} is an apocalyptic number.

It is an amenable number.

88001017630761 is a deficient number, since it is larger than the sum of its proper divisors (31481440067031).

88001017630761 is a wasteful number, since it uses less digits than its factorization.

88001017630761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101493.

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 88001017630761 in words is "eighty-eight trillion, one billion, seventeen million, six hundred thirty thousand, seven hundred sixty-one".