82921099696560 has 240 divisors, whose sum is σ = 291750262502400. Its totient is φ = 21079605127680.

The previous prime is 82921099696559. The next prime is 82921099696583. The reversal of 82921099696560 is 6569699012928.

82921099696560 is a `hidden beast` number, since 8 + 292 + 109 + 96 + 96 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26229210 + ... + 29220089.

It is an arithmetic number, because the mean of its divisors is an integer number (1215626093760).

Almost surely, 2^{82921099696560} is an apocalyptic number.

82921099696560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82921099696560 is an abundant number, since it is smaller than the sum of its proper divisors (208829162805840).

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

82921099696560 is a wasteful number, since it uses less digits than its factorization.

82921099696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55449416 (or 55449407 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 82921099696560 in words is "eighty-two trillion, nine hundred twenty-one billion, ninety-nine million, six hundred ninety-six thousand, five hundred sixty".