20005458892704 has 144 divisors (see below), whose sum is σ = 59428222596288. Its totient is φ = 6619810862592.

The previous prime is 20005458892669. The next prime is 20005458892717. The reversal of 20005458892704 is 40729885450002.

20005458892704 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 54 + 588 + 9 + 2 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8324172 + ... + 10454795.

It is an arithmetic number, because the mean of its divisors is an integer number (412695990252).

Almost surely, 2^{20005458892704} is an apocalyptic number.

20005458892704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20005458892704 is an abundant number, since it is smaller than the sum of its proper divisors (39422763703584).

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

20005458892704 is a wasteful number, since it uses less digits than its factorization.

20005458892704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18779129 (or 18779109 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 20005458892704 in words is "twenty trillion, five billion, four hundred fifty-eight million, eight hundred ninety-two thousand, seven hundred four".