21125252584800 has 4608 divisors, whose sum is σ = 104018942361600. Its totient is φ = 4013162496000.

The previous prime is 21125252584789. The next prime is 21125252584901. The reversal of 21125252584800 is 848525252112.

21125252584800 is a `hidden beast` number, since 2 + 1 + 12 + 5 + 2 + 52 + 584 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 82199426272 + ... + 82199426528.

It is an arithmetic number, because the mean of its divisors is an integer number (22573555200).

Almost surely, 2^{21125252584800} is an apocalyptic number.

21125252584800 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 21125252584800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009471180800).

21125252584800 is an abundant number, since it is smaller than the sum of its proper divisors (82893689776800).

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

21125252584800 is a wasteful number, since it uses less digits than its factorization.

21125252584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 21125252584800 in words is "twenty-one trillion, one hundred twenty-five billion, two hundred fifty-two million, five hundred eighty-four thousand, eight hundred".