20766509494900 has 72 divisors (see below), whose sum is σ = 49010228004024. Its totient is φ = 7591717056000.

The previous prime is 20766509494873. The next prime is 20766509494921. The reversal of 20766509494900 is 949490566702.

It can be written as a sum of positive squares in 12 ways, for example, as 7111459559824 + 13655049935076 = 2666732^2 + 3695274^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 78949087 + ... + 79211686.

It is an arithmetic number, because the mean of its divisors is an integer number (680697611167).

Almost surely, 2^{20766509494900} is an apocalyptic number.

20766509494900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20766509494900 is an abundant number, since it is smaller than the sum of its proper divisors (28243718509124).

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

20766509494900 is a wasteful number, since it uses less digits than its factorization.

20766509494900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158160901 (or 158160894 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 20766509494900 in words is "twenty trillion, seven hundred sixty-six billion, five hundred nine million, four hundred ninety-four thousand, nine hundred".