51189446880 has 1296 divisors, whose sum is σ = 221646402432. Its totient is φ = 11085465600.

The previous prime is 51189446857. The next prime is 51189446909. The reversal of 51189446880 is 8864498115.

It is a happy number.

51189446880 is a `hidden beast` number, since 5 + 1 + 18 + 94 + 468 + 80 = 666.

51189446880 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 (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1651272465 + ... + 1651272495.

Almost surely, 2^51189446880 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 51189446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110823201216).

51189446880 is an abundant number, since it is smaller than the sum of its proper divisors (170456955552).

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

51189446880 is a wasteful number, since it uses less digits than its factorization.

51189446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 51189446880 in words is "fifty-one billion, one hundred eighty-nine million, four hundred forty-six thousand, eight hundred eighty".