82978925347584 has 288 divisors, whose sum is σ = 281450491875840. Its totient is φ = 23622671167488.

The previous prime is 82978925347559. The next prime is 82978925347627. The reversal of 82978925347584 is 48574352987928.

82978925347584 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 8 + 9 + 2 + 534 + 75 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10306687 + ... + 16498049.

Almost surely, 2^{82978925347584} is an apocalyptic number.

82978925347584 is a gapful number since it is divisible by the number (84) 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 82978925347584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140725245937920).

82978925347584 is an abundant number, since it is smaller than the sum of its proper divisors (198471566528256).

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

82978925347584 is a wasteful number, since it uses less digits than its factorization.

82978925347584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191672 (or 6191652 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 81.

The spelling of 82978925347584 in words is "eighty-two trillion, nine hundred seventy-eight billion, nine hundred twenty-five million, three hundred forty-seven thousand, five hundred eighty-four".