51431418000 has 480 divisors, whose sum is σ = 188591929344. Its totient is φ = 13046400000.

The previous prime is 51431417981. The next prime is 51431418011. The reversal of 51431418000 is 81413415.

It is a happy number.

51431418000 is a `hidden beast` number, since 51 + 431 + 4 + 180 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34037245 + ... + 34038755.

Almost surely, 2^51431418000 is an apocalyptic number.

51431418000 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 51431418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94295964672).

51431418000 is an abundant number, since it is smaller than the sum of its proper divisors (137160511344).

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

51431418000 is a wasteful number, since it uses less digits than its factorization.

51431418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 51431418000 in words is "fifty-one billion, four hundred thirty-one million, four hundred eighteen thousand".