6251012534016 has 432 divisors, whose sum is σ = 19710264397824. Its totient is φ = 1897538420736.

The previous prime is 6251012533991. The next prime is 6251012534027. The reversal of 6251012534016 is 6104352101526.

6251012534016 is a `hidden beast` number, since 6 + 2 + 5 + 101 + 2 + 534 + 0 + 16 = 666.

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

It is a congruent number.

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, 180194625 + ... + 180229311.

It is an arithmetic number, because the mean of its divisors is an integer number (45625612032).

Almost surely, 2^{6251012534016} 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 6251012534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9855132198912).

6251012534016 is an abundant number, since it is smaller than the sum of its proper divisors (13459251863808).

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

6251012534016 is a wasteful number, since it uses less digits than its factorization.

6251012534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34876 (or 34859 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 6251012534016 in words is "six trillion, two hundred fifty-one billion, twelve million, five hundred thirty-four thousand, sixteen".