20405240100600 has 192 divisors, whose sum is σ = 67251924172800. Its totient is φ = 5106610629120.

The previous prime is 20405240100559. The next prime is 20405240100647. The reversal of 20405240100600 is 600104250402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13218040 + ... + 14680839.

It is an arithmetic number, because the mean of its divisors is an integer number (350270438400).

Almost surely, 2^{20405240100600} is an apocalyptic number.

20405240100600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20405240100600 is an abundant number, since it is smaller than the sum of its proper divisors (46846684072200).

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

20405240100600 is a wasteful number, since it uses less digits than its factorization.

20405240100600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27898974 (or 27898965 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 20405240100600 in words is "twenty trillion, four hundred five billion, two hundred forty million, one hundred thousand, six hundred".