82413539280 has 120 divisors (see below), whose sum is σ = 288805765248. Its totient is φ = 21021420288.

The previous prime is 82413539269. The next prime is 82413539311. The reversal of 82413539280 is 8293531428.

82413539280 is a `hidden beast` number, since 8 + 24 + 13 + 539 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×82413539280² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 2471772 + ... + 2504891.

Almost surely, 2^82413539280 is an apocalyptic number.

82413539280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82413539280 is an abundant number, since it is smaller than the sum of its proper divisors (206392225968).

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

82413539280 is a wasteful number, since it uses less digits than its factorization.

82413539280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976705 (or 4976696 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82413539280 in words is "eighty-two billion, four hundred thirteen million, five hundred thirty-nine thousand, two hundred eighty".