83557690401 has 48 divisors (see below), whose sum is σ = 121994907840. Its totient is φ = 50728043520.

The previous prime is 83557690387. The next prime is 83557690421. The reversal of 83557690401 is 10409675538.

It is not a de Polignac number, because 83557690401 - 2¹⁵ = 83557657633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83557690421) 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 47 ways as a sum of consecutive naturals, for example, 11165581 + ... + 11173061.

It is an arithmetic number, because the mean of its divisors is an integer number (2541560580).

Almost surely, 2^83557690401 is an apocalyptic number.

It is an amenable number.

83557690401 is a deficient number, since it is larger than the sum of its proper divisors (38437217439).

83557690401 is a wasteful number, since it uses less digits than its factorization.

83557690401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 83557690401 in words is "eighty-three billion, five hundred fifty-seven million, six hundred ninety thousand, four hundred one".