82197406512 has 120 divisors (see below), whose sum is σ = 256276566000. Its totient is φ = 24419372544.

The previous prime is 82197406477. The next prime is 82197406547. The reversal of 82197406512 is 21560479128.

82197406512 is a `hidden beast` number, since 8 + 2 + 1 + 97 + 40 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (82197406477) and next prime (82197406547).

It is a super-2 number, since 2×82197406512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702762 + ... + 811337.

It is an arithmetic number, because the mean of its divisors is an integer number (2135638050).

Almost surely, 2^82197406512 is an apocalyptic number.

It is an amenable number.

82197406512 is an abundant number, since it is smaller than the sum of its proper divisors (174079159488).

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

82197406512 is a wasteful number, since it uses less digits than its factorization.

82197406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514155 (or 1514146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82197406512 in words is "eighty-two billion, one hundred ninety-seven million, four hundred six thousand, five hundred twelve".