51537346560 has 384 divisors, whose sum is σ = 204223836960. Its totient is φ = 11777605632.

The previous prime is 51537346493. The next prime is 51537346561. The reversal of 51537346560 is 6564373515.

51537346560 is a `hidden beast` number, since 5 + 1 + 53 + 7 + 34 + 6 + 560 = 666.

51537346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51537346561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10319424 + ... + 10324416.

Almost surely, 2^51537346560 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 51537346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102111918480).

51537346560 is an abundant number, since it is smaller than the sum of its proper divisors (152686490400).

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

51537346560 is an equidigital number, since it uses as much as digits as its factorization.

51537346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 51537346560 in words is "fifty-one billion, five hundred thirty-seven million, three hundred forty-six thousand, five hundred sixty".