87577579397420 has 96 divisors (see below), whose sum is σ = 213399363480576. Its totient is φ = 29570795193600.

The previous prime is 87577579397393. The next prime is 87577579397423. The reversal of 87577579397420 is 2479397577578.

It is a super-2 number, since 2×87577579397420² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87577579397423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14167166 + ... + 19387205.

It is an arithmetic number, because the mean of its divisors is an integer number (2222910036256).

Almost surely, 2^{87577579397420} is an apocalyptic number.

It is an amenable number.

87577579397420 is an abundant number, since it is smaller than the sum of its proper divisors (125821784083156).

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

87577579397420 is a wasteful number, since it uses less digits than its factorization.

87577579397420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33554671 (or 33554669 counting only the distinct ones).

The product of its (nonzero) digits is 6534561600, while the sum is 80.

The spelling of 87577579397420 in words is "eighty-seven trillion, five hundred seventy-seven billion, five hundred seventy-nine million, three hundred ninety-seven thousand, four hundred twenty".