51144851520 has 1008 divisors, whose sum is σ = 219568946688. Its totient is φ = 11287019520.

The previous prime is 51144851519. The next prime is 51144851533. The reversal of 51144851520 is 2515844115.

51144851520 is a `hidden beast` number, since 5 + 11 + 44 + 85 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118117224 + ... + 118117656.

It is an arithmetic number, because the mean of its divisors is an integer number (217826336).

Almost surely, 2^51144851520 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 51144851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109784473344).

51144851520 is an abundant number, since it is smaller than the sum of its proper divisors (168424095168).

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

51144851520 is a wasteful number, since it uses less digits than its factorization.

51144851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 51144851520 in words is "fifty-one billion, one hundred forty-four million, eight hundred fifty-one thousand, five hundred twenty".