82975391155200 has 528 divisors, whose sum is σ = 286344179049600. Its totient is φ = 21151218401280.

The previous prime is 82975391155157. The next prime is 82975391155289. The reversal of 82975391155200 is 255119357928.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926910626 + ... + 2926938974.

Almost surely, 2^{82975391155200} is an apocalyptic number.

82975391155200 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 82975391155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143172089524800).

82975391155200 is an abundant number, since it is smaller than the sum of its proper divisors (203368787894400).

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

82975391155200 is a wasteful number, since it uses less digits than its factorization.

82975391155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062 (or 30039 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 82975391155200 in words is "eighty-two trillion, nine hundred seventy-five billion, three hundred ninety-one million, one hundred fifty-five thousand, two hundred".