51102249615360 has 1152 divisors, whose sum is σ = 185832691190640. Its totient is φ = 13488812457984.

The previous prime is 51102249615289. The next prime is 51102249615367. The reversal of 51102249615360 is 6351694220115.

It is a happy number.

51102249615360 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 2 + 2 + 496 + 153 + 6 + 0 = 666.

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

It is a super-2 number, since 2×51102249615360² (a number of 28 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 (51102249615367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147268730707 + ... + 147268731053.

Almost surely, 2^{51102249615360} 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 51102249615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92916345595320).

51102249615360 is an abundant number, since it is smaller than the sum of its proper divisors (134730441575280).

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

51102249615360 is an frugal number, since it uses more digits than its factorization.

51102249615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 51102249615360 in words is "fifty-one trillion, one hundred two billion, two hundred forty-nine million, six hundred fifteen thousand, three hundred sixty".