5151915964800 has 1920 divisors, whose sum is σ = 21400980606720. Its totient is φ = 1209821184000.

The previous prime is 5151915964799. The next prime is 5151915964817. The reversal of 5151915964800 is 84695191515.

It is a happy number.

5151915964800 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 9 + 1 + 596 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5151915964800² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15564700635 + ... + 15564700965.

It is an arithmetic number, because the mean of its divisors is an integer number (11146344066).

Almost surely, 2^{5151915964800} is an apocalyptic number.

5151915964800 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 5151915964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700490303360).

5151915964800 is an abundant number, since it is smaller than the sum of its proper divisors (16249064641920).

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

5151915964800 is a wasteful number, since it uses less digits than its factorization.

5151915964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 5151915964800 in words is "five trillion, one hundred fifty-one billion, nine hundred fifteen million, nine hundred sixty-four thousand, eight hundred".