51180477004800 has 5940 divisors, whose sum is σ = 242199163605168. Its totient is φ = 10627448832000.

The previous prime is 51180477004793. The next prime is 51180477004861. The reversal of 51180477004800 is 840077408115.

51180477004800 is a `hidden beast` number, since 51 + 1 + 80 + 47 + 7 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5940).

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 539 ways as a sum of consecutive naturals, for example, 720851788765 + ... + 720851788835.

Almost surely, 2^{51180477004800} is an apocalyptic number.

51180477004800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51180477004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121099581802584).

51180477004800 is an abundant number, since it is smaller than the sum of its proper divisors (191018686600368).

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

51180477004800 is a wasteful number, since it uses less digits than its factorization.

51180477004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 51180477004800 in words is "fifty-one trillion, one hundred eighty billion, four hundred seventy-seven million, four thousand, eight hundred".