51180940800 has 480 divisors, whose sum is σ = 204952239360. Its totient is φ = 12406579200.

The previous prime is 51180940787. The next prime is 51180940829. The reversal of 51180940800 is 804908115.

51180940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3794869 + ... + 3808331.

It is an arithmetic number, because the mean of its divisors is an integer number (426983832).

Almost surely, 2^51180940800 is an apocalyptic number.

51180940800 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 51180940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102476119680).

51180940800 is an abundant number, since it is smaller than the sum of its proper divisors (153771298560).

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

51180940800 is a wasteful number, since it uses less digits than its factorization.

51180940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13484 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 51180940800 in words is "fifty-one billion, one hundred eighty million, nine hundred forty thousand, eight hundred".