51387033600 has 864 divisors, whose sum is σ = 213876936000. Its totient is φ = 11548753920.

The previous prime is 51387033493. The next prime is 51387033667. The reversal of 51387033600 is 633078315.

51387033600 is a `hidden beast` number, since 5 + 13 + 8 + 7 + 0 + 33 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287078311 + ... + 287078489.

It is an arithmetic number, because the mean of its divisors is an integer number (247542750).

Almost surely, 2^51387033600 is an apocalyptic number.

51387033600 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 51387033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106938468000).

51387033600 is an abundant number, since it is smaller than the sum of its proper divisors (162489902400).

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

51387033600 is a wasteful number, since it uses less digits than its factorization.

51387033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

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

The spelling of 51387033600 in words is "fifty-one billion, three hundred eighty-seven million, thirty-three thousand, six hundred".