51433954560 has 1152 divisors, whose sum is σ = 206918208000. Its totient is φ = 12039487488.

The previous prime is 51433954547. The next prime is 51433954613. The reversal of 51433954560 is 6545933415.

51433954560 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 39 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704574684 + ... + 704574756.

It is an arithmetic number, because the mean of its divisors is an integer number (179616500).

Almost surely, 2^51433954560 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 51433954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103459104000).

51433954560 is an abundant number, since it is smaller than the sum of its proper divisors (155484253440).

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

51433954560 is a wasteful number, since it uses less digits than its factorization.

51433954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 51433954560 in words is "fifty-one billion, four hundred thirty-three million, nine hundred fifty-four thousand, five hundred sixty".