82993345085952 has 1200 divisors, whose sum is σ = 298228540008960. Its totient is φ = 22887567360000.

The previous prime is 82993345085939. The next prime is 82993345085993. The reversal of 82993345085952 is 25958054339928.

82993345085952 is a `hidden beast` number, since 8 + 2 + 9 + 9 + 3 + 3 + 450 + 85 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 27655228452 + ... + 27655231452.

Almost surely, 2^{82993345085952} 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 82993345085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149114270004480).

82993345085952 is an abundant number, since it is smaller than the sum of its proper divisors (215235194923008).

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

82993345085952 is a wasteful number, since it uses less digits than its factorization.

82993345085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 82993345085952 in words is "eighty-two trillion, nine hundred ninety-three billion, three hundred forty-five million, eighty-five thousand, nine hundred fifty-two".