51340573917360 has 2560 divisors, whose sum is σ = 230825226240000. Its totient is φ = 10409892691968.

The previous prime is 51340573917317. The next prime is 51340573917371. The reversal of 51340573917360 is 6371937504315.

It is a happy number.

51340573917360 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 0 + 573 + 9 + 1 + 7 + 3 + 60 = 666.

It is a super-2 number, since 2×51340573917360² (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 = 51340573917297 and 51340573917306.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 110886768489 + ... + 110886768951.

It is an arithmetic number, because the mean of its divisors is an integer number (90166104000).

Almost surely, 2^{51340573917360} 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 51340573917360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115412613120000).

51340573917360 is an abundant number, since it is smaller than the sum of its proper divisors (179484652322640).

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

51340573917360 is a wasteful number, since it uses less digits than its factorization.

51340573917360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 51340573917360 in words is "fifty-one trillion, three hundred forty billion, five hundred seventy-three million, nine hundred seventeen thousand, three hundred sixty".