83057808960 has 672 divisors, whose sum is σ = 338882199552. Its totient is φ = 18271457280.

The previous prime is 83057808931. The next prime is 83057808971. The reversal of 83057808960 is 6980875038.

It is a happy number.

83057808960 is a `hidden beast` number, since 8 + 3 + 0 + 578 + 0 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 83057808897 and 83057808906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216860929 + ... + 216861311.

Almost surely, 2^83057808960 is an apocalyptic number.

83057808960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83057808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169441099776).

83057808960 is an abundant number, since it is smaller than the sum of its proper divisors (255824390592).

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

83057808960 is a wasteful number, since it uses less digits than its factorization.

83057808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 83057808960 in words is "eighty-three billion, fifty-seven million, eight hundred eight thousand, nine hundred sixty".