82953048552 has 256 divisors, whose sum is σ = 241307320320. Its totient is φ = 23527929600.

The previous prime is 82953048511. The next prime is 82953048571. The reversal of 82953048552 is 25584035928.

It is a junction number, because it is equal to n+sod(n) for n = 82953048495 and 82953048504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37653483 + ... + 37655685.

It is an arithmetic number, because the mean of its divisors is an integer number (942606720).

Almost surely, 2^82953048552 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 82953048552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120653660160).

82953048552 is an abundant number, since it is smaller than the sum of its proper divisors (158354271768).

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

82953048552 is a wasteful number, since it uses less digits than its factorization.

82953048552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 82953048552 in words is "eighty-two billion, nine hundred fifty-three million, forty-eight thousand, five hundred fifty-two".