20669935406400 has 336 divisors, whose sum is σ = 86113795646080. Its totient is φ = 4724556595200.

The previous prime is 20669935406399. The next prime is 20669935406431. The reversal of 20669935406400 is 460453996602.

20669935406400 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 9 + 93 + 540 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 33874081 + ... + 34478880.

Almost surely, 2^{20669935406400} is an apocalyptic number.

20669935406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20669935406400 is an abundant number, since it is smaller than the sum of its proper divisors (65443860239680).

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

20669935406400 is a wasteful number, since it uses less digits than its factorization.

20669935406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68352999 (or 68352978 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 20669935406400 in words is "twenty trillion, six hundred sixty-nine billion, nine hundred thirty-five million, four hundred six thousand, four hundred".