21051168014016 has 560 divisors, whose sum is σ = 77492088002560. Its totient is φ = 5514246512640.

The previous prime is 21051168013969. The next prime is 21051168014021. The reversal of 21051168014016 is 61041086115012.

21051168014016 is a `hidden beast` number, since 2 + 10 + 511 + 6 + 80 + 1 + 40 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20881176 + ... + 21866088.

It is an arithmetic number, because the mean of its divisors is an integer number (138378728576).

Almost surely, 2^{21051168014016} 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 21051168014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38746044001280).

21051168014016 is an abundant number, since it is smaller than the sum of its proper divisors (56440919988544).

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

21051168014016 is a wasteful number, since it uses less digits than its factorization.

21051168014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984994 (or 984975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 21051168014016 in words is "twenty-one trillion, fifty-one billion, one hundred sixty-eight million, fourteen thousand, sixteen".