6051400516512 has 648 divisors, whose sum is σ = 20020602632940. Its totient is φ = 1797457858560.

The previous prime is 6051400516411. The next prime is 6051400516519. The reversal of 6051400516512 is 2156150041506.

6051400516512 is a `hidden beast` number, since 6 + 0 + 51 + 40 + 0 + 51 + 6 + 512 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1870340700816 + 4181059815696 = 1367604^2 + 2044764^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×6051400516512² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6051400516519) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1028971812 + ... + 1028977692.

Almost surely, 2^{6051400516512} 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 6051400516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010301316470).

6051400516512 is an abundant number, since it is smaller than the sum of its proper divisors (13969202116428).

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

6051400516512 is an equidigital number, since it uses as much as digits as its factorization.

6051400516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 6051400516512 in words is "six trillion, fifty-one billion, four hundred million, five hundred sixteen thousand, five hundred twelve".