51537358080 has 360 divisors, whose sum is σ = 198600677352. Its totient is φ = 12685787136.

The previous prime is 51537358079. The next prime is 51537358087. The reversal of 51537358080 is 8085373515.

51537358080 is a `hidden beast` number, since 5 + 1 + 537 + 35 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 879952896 + 50657405184 = 29664^2 + 225072^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×51537358080² (a number of 22 digits) contains 22 as substring.

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 (51537358087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1328722 + ... + 1366958.

Almost surely, 2^51537358080 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 51537358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99300338676).

51537358080 is an abundant number, since it is smaller than the sum of its proper divisors (147063319272).

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

51537358080 is a wasteful number, since it uses less digits than its factorization.

51537358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38283 (or 38260 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 51537358080 in words is "fifty-one billion, five hundred thirty-seven million, three hundred fifty-eight thousand, eighty".