51378372000 has 432 divisors, whose sum is σ = 188957589912. Its totient is φ = 13220659200.

The previous prime is 51378371983. The next prime is 51378372103. The reversal of 51378372000 is 27387315.

51378372000 is a `hidden beast` number, since 51 + 378 + 37 + 200 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 585833616 + 50792538384 = 24204^2 + 225372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30275152 + ... + 30276848.

Almost surely, 2^51378372000 is an apocalyptic number.

51378372000 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 51378372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94478794956).

51378372000 is an abundant number, since it is smaller than the sum of its proper divisors (137579217912).

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

51378372000 is a wasteful number, since it uses less digits than its factorization.

51378372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 51378372000 in words is "fifty-one billion, three hundred seventy-eight million, three hundred seventy-two thousand".