6051314856960 has 704 divisors, whose sum is σ = 21954006220800. Its totient is φ = 1580349947904.

The previous prime is 6051314856949. The next prime is 6051314856971. The reversal of 6051314856960 is 696584131506.

6051314856960 is a `hidden beast` number, since 6 + 0 + 5 + 1 + 3 + 14 + 8 + 569 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6051314856949) and next prime (6051314856971).

It is a super-2 number, since 2×6051314856960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6051314856897 and 6051314856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386959739 + ... + 1386964101.

Almost surely, 2^{6051314856960} is an apocalyptic number.

6051314856960 is a gapful number since it is divisible by the number (60) 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 6051314856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977003110400).

6051314856960 is an abundant number, since it is smaller than the sum of its proper divisors (15902691363840).

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

6051314856960 is a wasteful number, since it uses less digits than its factorization.

6051314856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6051314856960 in words is "six trillion, fifty-one billion, three hundred fourteen million, eight hundred fifty-six thousand, nine hundred sixty".