20987647948800 has 2592 divisors, whose sum is σ = 89370854118000. Its totient is φ = 4851467550720.

The previous prime is 20987647948759. The next prime is 20987647948831. The reversal of 20987647948800 is 884974678902.

20987647948800 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 76 + 4 + 79 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46743090976 + ... + 46743091424.

Almost surely, 2^{20987647948800} is an apocalyptic number.

20987647948800 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 20987647948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44685427059000).

20987647948800 is an abundant number, since it is smaller than the sum of its proper divisors (68383206169200).

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

20987647948800 is a wasteful number, since it uses less digits than its factorization.

20987647948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 20987647948800 in words is "twenty trillion, nine hundred eighty-seven billion, six hundred forty-seven million, nine hundred forty-eight thousand, eight hundred".