51182047008180 has 576 divisors, whose sum is σ = 187716859319808. Its totient is φ = 11134874910720.

The previous prime is 51182047008173. The next prime is 51182047008199. The reversal of 51182047008180 is 8180074028115.

51182047008180 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 20 + 470 + 0 + 81 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245310784 + ... + 245519336.

It is an arithmetic number, because the mean of its divisors is an integer number (325897325208).

Almost surely, 2^{51182047008180} 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 51182047008180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93858429659904).

51182047008180 is an abundant number, since it is smaller than the sum of its proper divisors (136534812311628).

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

51182047008180 is a wasteful number, since it uses less digits than its factorization.

51182047008180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208936 (or 208931 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 51182047008180 in words is "fifty-one trillion, one hundred eighty-two billion, forty-seven million, eight thousand, one hundred eighty".