21125114309376 has 432 divisors, whose sum is σ = 79276349335680. Its totient is φ = 5487041710080.

The previous prime is 21125114309363. The next prime is 21125114309381. The reversal of 21125114309376 is 67390341152112.

21125114309376 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 511 + 43 + 0 + 93 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 890415 + ... + 6560721.

Almost surely, 2^{21125114309376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21125114309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39638174667840).

21125114309376 is an abundant number, since it is smaller than the sum of its proper divisors (58151235026304).

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

21125114309376 is a wasteful number, since it uses less digits than its factorization.

21125114309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670357 (or 5670330 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 21125114309376 in words is "twenty-one trillion, one hundred twenty-five billion, one hundred fourteen million, three hundred nine thousand, three hundred seventy-six".