51143575633920 has 3584 divisors, whose sum is σ = 235669916482560. Its totient is φ = 10342493061120.

The previous prime is 51143575633919. The next prime is 51143575633933. The reversal of 51143575633920 is 2933657534115.

51143575633920 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 3 + 57 + 563 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 616187658199 + ... + 616187658281.

It is an arithmetic number, because the mean of its divisors is an integer number (65756115090).

Almost surely, 2^{51143575633920} 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 51143575633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117834958241280).

51143575633920 is an abundant number, since it is smaller than the sum of its proper divisors (184526340848640).

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

51143575633920 is an frugal number, since it uses more digits than its factorization.

51143575633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 51143575633920 in words is "fifty-one trillion, one hundred forty-three billion, five hundred seventy-five million, six hundred thirty-three thousand, nine hundred twenty".