5151344960000 has 800 divisors, whose sum is σ = 14103371576448. Its totient is φ = 1873428480000.

The previous prime is 5151344959997. The next prime is 5151344960033. The reversal of 5151344960000 is 694431515.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12975679802 + ... + 12975680198.

Almost surely, 2^{5151344960000} is an apocalyptic number.

5151344960000 is a gapful number since it is divisible by the number (50) 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 5151344960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051685788224).

5151344960000 is an abundant number, since it is smaller than the sum of its proper divisors (8952026616448).

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

5151344960000 is an equidigital number, since it uses as much as digits as its factorization.

5151344960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 5151344960000 in words is "five trillion, one hundred fifty-one billion, three hundred forty-four million, nine hundred sixty thousand".