20776457321700 has 144 divisors (see below), whose sum is σ = 62112104570880. Its totient is φ = 5356503504000.

The previous prime is 20776457321663. The next prime is 20776457321713. The reversal of 20776457321700 is 712375467702.

It is a happy number.

It is a super-2 number, since 2×20776457321700² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 8587615 + ... + 10737785.

It is an arithmetic number, because the mean of its divisors is an integer number (431334059520).

Almost surely, 2^{20776457321700} is an apocalyptic number.

20776457321700 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 20776457321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056052285440).

20776457321700 is an abundant number, since it is smaller than the sum of its proper divisors (41335647249180).

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

20776457321700 is a wasteful number, since it uses less digits than its factorization.

20776457321700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151258 (or 2151251 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The spelling of 20776457321700 in words is "twenty trillion, seven hundred seventy-six billion, four hundred fifty-seven million, three hundred twenty-one thousand, seven hundred".