83545020864 has 224 divisors, whose sum is σ = 260517680640. Its totient is φ = 26163523584.

The previous prime is 83545020841. The next prime is 83545020883. The reversal of 83545020864 is 46802054538.

83545020864 is a `hidden beast` number, since 8 + 3 + 545 + 0 + 20 + 86 + 4 = 666.

It is a super-2 number, since 2×83545020864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18886557 + ... + 18890979.

It is an arithmetic number, because the mean of its divisors is an integer number (1163025360).

Almost surely, 2^83545020864 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 83545020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130258840320).

83545020864 is an abundant number, since it is smaller than the sum of its proper divisors (176972659776).

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

83545020864 is a wasteful number, since it uses less digits than its factorization.

83545020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 83545020864 in words is "eighty-three billion, five hundred forty-five million, twenty thousand, eight hundred sixty-four".