82405103004 has 144 divisors (see below), whose sum is σ = 257093575200. Its totient is φ = 22732399872.

The previous prime is 82405103003. The next prime is 82405103021. The reversal of 82405103004 is 40030150428.

82405103004 is a `hidden beast` number, since 82 + 40 + 510 + 30 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82405103003) 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, 115009 + ... + 421944.

It is an arithmetic number, because the mean of its divisors is an integer number (1785372050).

Almost surely, 2^82405103004 is an apocalyptic number.

82405103004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82405103004 is an abundant number, since it is smaller than the sum of its proper divisors (174688472196).

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

82405103004 is a wasteful number, since it uses less digits than its factorization.

82405103004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537009 (or 536994 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 82405103004 in words is "eighty-two billion, four hundred five million, one hundred three thousand, four".