82541694200004 has 108 divisors (see below), whose sum is σ = 226918036172100. Its totient is φ = 25286538071808.

The previous prime is 82541694199999. The next prime is 82541694200027. The reversal of 82541694200004 is 40000249614528.

It is a happy number.

82541694200004 is a `hidden beast` number, since 8 + 2 + 541 + 69 + 42 + 0 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1380271104 + 82540313928900 = 37152^2 + 9085170^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28229059 + ... + 31015530.

Almost surely, 2^{82541694200004} is an apocalyptic number.

It is an amenable number.

82541694200004 is an abundant number, since it is smaller than the sum of its proper divisors (144376341972096).

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

82541694200004 is a wasteful number, since it uses less digits than its factorization.

82541694200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59244854 (or 59244836 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82541694200004 in words is "eighty-two trillion, five hundred forty-one billion, six hundred ninety-four million, two hundred thousand, four".