5151262795008 has 1152 divisors, whose sum is σ = 16524823633920. Its totient is φ = 1409231093760.

The previous prime is 5151262794989. The next prime is 5151262795051. The reversal of 5151262795008 is 8005972621515.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45586396360 + ... + 45586396472.

It is an arithmetic number, because the mean of its divisors is an integer number (14344464960).

Almost surely, 2^{5151262795008} is an apocalyptic number.

5151262795008 is a gapful number since it is divisible by the number (58) 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 5151262795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262411816960).

5151262795008 is an abundant number, since it is smaller than the sum of its proper divisors (11373560838912).

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

5151262795008 is a wasteful number, since it uses less digits than its factorization.

5151262795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 5151262795008 in words is "five trillion, one hundred fifty-one billion, two hundred sixty-two million, seven hundred ninety-five thousand, eight".