21894191308800 has 1344 divisors, whose sum is σ = 85572293736960. Its totient is φ = 5468942499840.

The previous prime is 21894191308799. The next prime is 21894191308811. The reversal of 21894191308800 is 880319149812.

It is a happy number.

21894191308800 is a `hidden beast` number, since 2 + 18 + 9 + 419 + 130 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×21894191308800² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 26602905189 + ... + 26602906011.

Almost surely, 2^{21894191308800} is an apocalyptic number.

21894191308800 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 21894191308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42786146868480).

21894191308800 is an abundant number, since it is smaller than the sum of its proper divisors (63678102428160).

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

21894191308800 is a wasteful number, since it uses less digits than its factorization.

21894191308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 21894191308800 in words is "twenty-one trillion, eight hundred ninety-four billion, one hundred ninety-one million, three hundred eight thousand, eight hundred".