82456052019120 has 160 divisors (see below), whose sum is σ = 305862620414400. Its totient is φ = 20296874336256.

The previous prime is 82456052019097. The next prime is 82456052019277. The reversal of 82456052019120 is 2191025065428.

82456052019120 is a `hidden beast` number, since 8 + 2 + 4 + 5 + 605 + 2 + 0 + 19 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1468206465 + ... + 1468262624.

It is an arithmetic number, because the mean of its divisors is an integer number (1911641377590).

Almost surely, 2^{82456052019120} is an apocalyptic number.

82456052019120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82456052019120 is an abundant number, since it is smaller than the sum of its proper divisors (223406568395280).

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

82456052019120 is a wasteful number, since it uses less digits than its factorization.

82456052019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936469124 (or 2936469112 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82456052019120 in words is "eighty-two trillion, four hundred fifty-six billion, fifty-two million, nineteen thousand, one hundred twenty".