82970280558 has 96 divisors (see below), whose sum is σ = 202949913600. Its totient is φ = 25107025680.

The previous prime is 82970280557. The next prime is 82970280641. The reversal of 82970280558 is 85508207928.

82970280558 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 0 + 2 + 80 + 558 = 666.

It is a super-3 number, since 3×82970280558³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82970280551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4820035 + ... + 4837217.

It is an arithmetic number, because the mean of its divisors is an integer number (2114061600).

Almost surely, 2^82970280558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82970280558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101474956800).

82970280558 is an abundant number, since it is smaller than the sum of its proper divisors (119979633042).

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

82970280558 is a wasteful number, since it uses less digits than its factorization.

82970280558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17955 (or 17938 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 82970280558 in words is "eighty-two billion, nine hundred seventy million, two hundred eighty thousand, five hundred fifty-eight".