21494859235200 has 1536 divisors, whose sum is σ = 89359030656000. Its totient is φ = 5002239836160.

The previous prime is 21494859235189. The next prime is 21494859235237. The reversal of 21494859235200 is 253295849412.

21494859235200 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 48 + 59 + 23 + 520 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16496437749 + ... + 16496439051.

It is an arithmetic number, because the mean of its divisors is an integer number (58176452250).

Almost surely, 2^{21494859235200} is an apocalyptic number.

21494859235200 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 21494859235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44679515328000).

21494859235200 is an abundant number, since it is smaller than the sum of its proper divisors (67864171420800).

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

21494859235200 is a wasteful number, since it uses less digits than its factorization.

21494859235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 21494859235200 in words is "twenty-one trillion, four hundred ninety-four billion, eight hundred fifty-nine million, two hundred thirty-five thousand, two hundred".