21214119679800 has 192 divisors, whose sum is σ = 66257860356480. Its totient is φ = 5614678218240.

The previous prime is 21214119679799. The next prime is 21214119679937. The reversal of 21214119679800 is 897691141212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83051079 + ... + 83306121.

It is an arithmetic number, because the mean of its divisors is an integer number (345093022690).

Almost surely, 2^{21214119679800} is an apocalyptic number.

21214119679800 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 21214119679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33128930178240).

21214119679800 is an abundant number, since it is smaller than the sum of its proper divisors (45043740676680).

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

21214119679800 is a wasteful number, since it uses less digits than its factorization.

21214119679800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256102 (or 256093 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 21214119679800 in words is "twenty-one trillion, two hundred fourteen billion, one hundred nineteen million, six hundred seventy-nine thousand, eight hundred".