21870844732800 has 3840 divisors, whose sum is σ = 104525642073600. Its totient is φ = 4382946754560.

The previous prime is 21870844732799. The next prime is 21870844732879. The reversal of 21870844732800 is 823744807812.

21870844732800 is a `hidden beast` number, since 2 + 1 + 8 + 70 + 84 + 473 + 28 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 39265430122 + ... + 39265430678.

It is an arithmetic number, because the mean of its divisors is an integer number (27220219290).

Almost surely, 2^{21870844732800} is an apocalyptic number.

21870844732800 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 21870844732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52262821036800).

21870844732800 is an abundant number, since it is smaller than the sum of its proper divisors (82654797340800).

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

21870844732800 is a wasteful number, since it uses less digits than its factorization.

21870844732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 21870844732800 in words is "twenty-one trillion, eight hundred seventy billion, eight hundred forty-four million, seven hundred thirty-two thousand, eight hundred".