20887142936400 has 360 divisors, whose sum is σ = 80577961458176. Its totient is φ = 4975596979200.

The previous prime is 20887142936353. The next prime is 20887142936423. The reversal of 20887142936400 is 463924178802.

20887142936400 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 7 + 142 + 93 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5747692 + ... + 8649291.

Almost surely, 2^{20887142936400} is an apocalyptic number.

20887142936400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20887142936400 is an abundant number, since it is smaller than the sum of its proper divisors (59690818521776).

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

20887142936400 is a wasteful number, since it uses less digits than its factorization.

20887142936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14397051 (or 14397037 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20887142936400 in words is "twenty trillion, eight hundred eighty-seven billion, one hundred forty-two million, nine hundred thirty-six thousand, four hundred".