51135188751360 has 924 divisors, whose sum is σ = 213939983521908. Its totient is φ = 11688001339392.

The previous prime is 51135188751319. The next prime is 51135188751461. The reversal of 51135188751360 is 6315788153115.

It is a happy number.

51135188751360 is a `hidden beast` number, since 5 + 1 + 1 + 35 + 18 + 87 + 513 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17213603549184 + 33921585202176 = 4148928^2 + 5824224^2 .

It is a super-2 number, since 2×51135188751360² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51135188751297 and 51135188751306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 182751724 + ... + 183031316.

Almost surely, 2^{51135188751360} 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 51135188751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106969991760954).

51135188751360 is an abundant number, since it is smaller than the sum of its proper divisors (162804794770548).

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

51135188751360 is an equidigital number, since it uses as much as digits as its factorization.

51135188751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279650 (or 279610 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 51135188751360 in words is "fifty-one trillion, one hundred thirty-five billion, one hundred eighty-eight million, seven hundred fifty-one thousand, three hundred sixty".