21126892800 has 648 divisors, whose sum is σ = 80148870144. Its totient is φ = 4881776640.

The previous prime is 21126892781. The next prime is 21126892819. The reversal of 21126892800 is 829862112.

It is an interprime number because it is at equal distance from previous prime (21126892781) and next prime (21126892819).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 55161409 + ... + 55161791.

It is an arithmetic number, because the mean of its divisors is an integer number (123686528).

Almost surely, 2^21126892800 is an apocalyptic number.

21126892800 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 21126892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40074435072).

21126892800 is an abundant number, since it is smaller than the sum of its proper divisors (59021977344).

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

21126892800 is a wasteful number, since it uses less digits than its factorization.

21126892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 21126892800 in words is "twenty-one billion, one hundred twenty-six million, eight hundred ninety-two thousand, eight hundred".