51387336000 has 2688 divisors, whose sum is σ = 265847242752. Its totient is φ = 9123840000.

The previous prime is 51387335999. The next prime is 51387336017. The reversal of 51387336000 is 63378315.

51387336000 is a `hidden beast` number, since 5 + 13 + 8 + 7 + 33 + 600 + 0 = 666.

51387336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 1657655985 + ... + 1657656015.

It is an arithmetic number, because the mean of its divisors is an integer number (98901504).

Almost surely, 2^51387336000 is an apocalyptic number.

51387336000 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 51387336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132923621376).

51387336000 is an abundant number, since it is smaller than the sum of its proper divisors (214459906752).

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

51387336000 is a wasteful number, since it uses less digits than its factorization.

51387336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 51387336000 in words is "fifty-one billion, three hundred eighty-seven million, three hundred thirty-six thousand".