20590727611140 has 144 divisors (see below), whose sum is σ = 63256834368000. Its totient is φ = 5420697894144.

The previous prime is 20590727611127. The next prime is 20590727611159. The reversal of 20590727611140 is 4111672709502.

20590727611140 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 0 + 7 + 27 + 611 + 1 + 4 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 123104286 + ... + 123271434.

It is an arithmetic number, because the mean of its divisors is an integer number (439283572000).

Almost surely, 2^{20590727611140} is an apocalyptic number.

20590727611140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20590727611140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31628417184000).

20590727611140 is an abundant number, since it is smaller than the sum of its proper divisors (42666106756860).

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

20590727611140 is a wasteful number, since it uses less digits than its factorization.

20590727611140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175906 (or 175901 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 20590727611140 in words is "twenty trillion, five hundred ninety billion, seven hundred twenty-seven million, six hundred eleven thousand, one hundred forty".