21074816195856 has 720 divisors, whose sum is σ = 63503698003200. Its totient is φ = 6517507276800.

The previous prime is 21074816195813. The next prime is 21074816195861. The reversal of 21074816195856 is 65859161847012.

21074816195856 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 4 + 8 + 1 + 619 + 5 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×21074816195856² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21074816195793 and 21074816195802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151617382635 + ... + 151617382773.

It is an arithmetic number, because the mean of its divisors is an integer number (88199580560).

Almost surely, 2^{21074816195856} 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 21074816195856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31751849001600).

21074816195856 is an abundant number, since it is smaller than the sum of its proper divisors (42428881807344).

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

21074816195856 is a wasteful number, since it uses less digits than its factorization.

21074816195856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 21074816195856 in words is "twenty-one trillion, seventy-four billion, eight hundred sixteen million, one hundred ninety-five thousand, eight hundred fifty-six".