20587908012100 has 729 divisors, whose sum is σ = 56458413787671. Its totient is φ = 6507706233600.

The previous prime is 20587908012079. The next prime is 20587908012149. The reversal of 20587908012100 is 121080978502.

It is a happy number.

The square root of 20587908012100 is 4537390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5306563745604 + 15281344266496 = 2303598^2 + 3909136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 123280886217 + ... + 123280886383.

Almost surely, 2^{20587908012100} is an apocalyptic number.

20587908012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20587908012100 is the 4537390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20587908012100

20587908012100 is an abundant number, since it is smaller than the sum of its proper divisors (35870505775571).

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

20587908012100 is a wasteful number, since it uses less digits than its factorization.

20587908012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 20587908012100 in words is "twenty trillion, five hundred eighty-seven billion, nine hundred eight million, twelve thousand, one hundred".