82957662720 has 240 divisors, whose sum is σ = 292180093920. Its totient is φ = 21746737152.

The previous prime is 82957662701. The next prime is 82957662797. The reversal of 82957662720 is 2726675928.

82957662720 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 7 + 6 + 627 + 2 + 0 = 666.

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

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, 1328847 + ... + 1389873.

It is an arithmetic number, because the mean of its divisors is an integer number (1217417058).

Almost surely, 2^82957662720 is an apocalyptic number.

82957662720 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 82957662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146090046960).

82957662720 is an abundant number, since it is smaller than the sum of its proper divisors (209222431200).

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

82957662720 is a wasteful number, since it uses less digits than its factorization.

82957662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61115 (or 61096 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 82957662720 in words is "eighty-two billion, nine hundred fifty-seven million, six hundred sixty-two thousand, seven hundred twenty".