20520380556900 has 576 divisors, whose sum is σ = 78385649664000. Its totient is φ = 4506397286400.

The previous prime is 20520380556811. The next prime is 20520380556917. The reversal of 20520380556900 is 965508302502.

20520380556900 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 0 + 3 + 8 + 0 + 556 + 90 + 0 = 666.

It is a super-2 number, since 2×20520380556900² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 81314116 + ... + 81566084.

Almost surely, 2^{20520380556900} is an apocalyptic number.

20520380556900 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 20520380556900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39192824832000).

20520380556900 is an abundant number, since it is smaller than the sum of its proper divisors (57865269107100).

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

20520380556900 is a wasteful number, since it uses less digits than its factorization.

20520380556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252169 (or 252156 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20520380556900 in words is "twenty trillion, five hundred twenty billion, three hundred eighty million, five hundred fifty-six thousand, nine hundred".