20590187287840 has 192 divisors, whose sum is σ = 52978235587200. Its totient is φ = 7530628202496.

The previous prime is 20590187287781. The next prime is 20590187287841. The reversal of 20590187287840 is 4878278109502.

It is a super-4 number, since 4×20590187287840⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (20590187287841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66166531 + ... + 66476989.

It is an arithmetic number, because the mean of its divisors is an integer number (275928310350).

Almost surely, 2^{20590187287840} is an apocalyptic number.

20590187287840 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 20590187287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489117793600).

20590187287840 is an abundant number, since it is smaller than the sum of its proper divisors (32388048299360).

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

20590187287840 is a wasteful number, since it uses less digits than its factorization.

20590187287840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311187 (or 311179 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 20590187287840 in words is "twenty trillion, five hundred ninety billion, one hundred eighty-seven million, two hundred eighty-seven thousand, eight hundred forty".