21494961100800 has 2304 divisors, whose sum is σ = 90376715520000. Its totient is φ = 4959476121600.

The previous prime is 21494961100799. The next prime is 21494961100867. The reversal of 21494961100800 is 800116949412.

It is a happy number.

21494961100800 is a `hidden beast` number, since 2 + 1 + 49 + 496 + 110 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 34837862092 + ... + 34837862708.

It is an arithmetic number, because the mean of its divisors is an integer number (39226005000).

Almost surely, 2^{21494961100800} is an apocalyptic number.

21494961100800 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 21494961100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45188357760000).

21494961100800 is an abundant number, since it is smaller than the sum of its proper divisors (68881754419200).

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

21494961100800 is a wasteful number, since it uses less digits than its factorization.

21494961100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 21494961100800 in words is "twenty-one trillion, four hundred ninety-four billion, nine hundred sixty-one million, one hundred thousand, eight hundred".