82933937856 has 840 divisors, whose sum is σ = 317348957376. Its totient is φ = 21171870720.

The previous prime is 82933937839. The next prime is 82933937873. The reversal of 82933937856 is 65873933928.

82933937856 is a `hidden beast` number, since 82 + 93 + 393 + 7 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82933937839) and next prime (82933937873).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 82933937793 and 82933937802.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187209571 + ... + 187210013.

Almost surely, 2^82933937856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82933937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158674478688).

82933937856 is an abundant number, since it is smaller than the sum of its proper divisors (234415019520).

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

82933937856 is a wasteful number, since it uses less digits than its factorization.

82933937856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 533 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 82933937856 in words is "eighty-two billion, nine hundred thirty-three million, nine hundred thirty-seven thousand, eight hundred fifty-six".