82770263136 has 144 divisors (see below), whose sum is σ = 271880573328. Its totient is φ = 23606476800.

The previous prime is 82770263123. The next prime is 82770263183. The reversal of 82770263136 is 63136207728.

82770263136 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 0 + 2 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 82770263091 and 82770263100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714585 + ... + 822296.

It is an arithmetic number, because the mean of its divisors is an integer number (1888059537).

Almost surely, 2^82770263136 is an apocalyptic number.

It is an amenable number.

82770263136 is an abundant number, since it is smaller than the sum of its proper divisors (189110310192).

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

82770263136 is a wasteful number, since it uses less digits than its factorization.

82770263136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536925 (or 1536914 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 82770263136 in words is "eighty-two billion, seven hundred seventy million, two hundred sixty-three thousand, one hundred thirty-six".