21292714751616 has 1536 divisors, whose sum is σ = 84810664673280. Its totient is φ = 4954804715520.

The previous prime is 21292714751603. The next prime is 21292714751629. The reversal of 21292714751616 is 61615741729212.

21292714751616 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 2 + 7 + 1 + 475 + 161 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21292714751603) and next prime (21292714751629).

It is a super-2 number, since 2×21292714751616² (a number of 27 digits) contains 22 as substring.

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, 7734366496 + ... + 7734369248.

It is an arithmetic number, because the mean of its divisors is an integer number (55215276480).

Almost surely, 2^{21292714751616} 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 21292714751616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42405332336640).

21292714751616 is an abundant number, since it is smaller than the sum of its proper divisors (63517949921664).

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

21292714751616 is a wasteful number, since it uses less digits than its factorization.

21292714751616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3039 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 21292714751616 in words is "twenty-one trillion, two hundred ninety-two billion, seven hundred fourteen million, seven hundred fifty-one thousand, six hundred sixteen".