87574734564801 has 32 divisors (see below), whose sum is σ = 134577595238400. Its totient is φ = 50155075951680.

The previous prime is 87574734564787. The next prime is 87574734564809. The reversal of 87574734564801 is 10846543747578.

It is not a de Polignac number, because 87574734564801 - 2⁷ = 87574734564673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87574734564809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973461931 + ... + 973551888.

It is an arithmetic number, because the mean of its divisors is an integer number (4205549851200).

Almost surely, 2^{87574734564801} is an apocalyptic number.

It is an amenable number.

87574734564801 is a deficient number, since it is larger than the sum of its proper divisors (47002860673599).

87574734564801 is a wasteful number, since it uses less digits than its factorization.

87574734564801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947013909.

The product of its (nonzero) digits is 632217600, while the sum is 69.

The spelling of 87574734564801 in words is "eighty-seven trillion, five hundred seventy-four billion, seven hundred thirty-four million, five hundred sixty-four thousand, eight hundred one".