20540745687600 has 240 divisors, whose sum is σ = 75468222423040. Its totient is φ = 5300837510400.

The previous prime is 20540745687599. The next prime is 20540745687613. The reversal of 20540745687600 is 678654704502.

It is a happy number.

20540745687600 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 0 + 7 + 4 + 568 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30341344 + ... + 31010943.

Almost surely, 2^{20540745687600} is an apocalyptic number.

20540745687600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20540745687600 is an abundant number, since it is smaller than the sum of its proper divisors (54927476735440).

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

20540745687600 is a wasteful number, since it uses less digits than its factorization.

20540745687600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61352345 (or 61352328 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 20540745687600 in words is "twenty trillion, five hundred forty billion, seven hundred forty-five million, six hundred eighty-seven thousand, six hundred".