20861577338700 has 432 divisors, whose sum is σ = 72530365759488. Its totient is φ = 4611277440000.

The previous prime is 20861577338687. The next prime is 20861577338743. The reversal of 20861577338700 is 783377516802.

It is a super-2 number, since 2×20861577338700² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674876245 + ... + 674907155.

It is an arithmetic number, because the mean of its divisors is an integer number (167894365184).

Almost surely, 2^{20861577338700} is an apocalyptic number.

20861577338700 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 20861577338700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265182879744).

20861577338700 is an abundant number, since it is smaller than the sum of its proper divisors (51668788420788).

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

20861577338700 is a wasteful number, since it uses less digits than its factorization.

20861577338700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32454 (or 32440 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 20861577338700 in words is "twenty trillion, eight hundred sixty-one billion, five hundred seventy-seven million, three hundred thirty-eight thousand, seven hundred".