82973358720 has 1024 divisors, whose sum is σ = 358778880000. Its totient is φ = 17700913152.

The previous prime is 82973358709. The next prime is 82973358761. The reversal of 82973358720 is 2785337928.

82973358720 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 33 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181560732 + ... + 181561188.

It is an arithmetic number, because the mean of its divisors is an integer number (350370000).

Almost surely, 2^82973358720 is an apocalyptic number.

82973358720 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 82973358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179389440000).

82973358720 is an abundant number, since it is smaller than the sum of its proper divisors (275805521280).

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

82973358720 is a wasteful number, since it uses less digits than its factorization.

82973358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

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

The spelling of 82973358720 in words is "eighty-two billion, nine hundred seventy-three million, three hundred fifty-eight thousand, seven hundred twenty".