82970754048 has 1056 divisors, whose sum is σ = 320456048640. Its totient is φ = 20065812480.

The previous prime is 82970754019. The next prime is 82970754049. The reversal of 82970754048 is 84045707928.

It is a happy number.

82970754048 is a `hidden beast` number, since 8 + 2 + 97 + 0 + 7 + 540 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82970753985 and 82970754003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82970754049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653312961 + ... + 653313087.

Almost surely, 2^82970754048 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 82970754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160228024320).

82970754048 is an abundant number, since it is smaller than the sum of its proper divisors (237485294592).

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

82970754048 is a wasteful number, since it uses less digits than its factorization.

82970754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 82970754048 in words is "eighty-two billion, nine hundred seventy million, seven hundred fifty-four thousand, forty-eight".