51387436800 has 1620 divisors, whose sum is σ = 235378250800. Its totient is φ = 11054776320.

The previous prime is 51387436799. The next prime is 51387436813. The reversal of 51387436800 is 863478315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51387436800 is a `hidden beast` number, since 5 + 138 + 7 + 436 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 3022790392 + ... + 3022790408.

Almost surely, 2^51387436800 is an apocalyptic number.

51387436800 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 51387436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117689125400).

51387436800 is an abundant number, since it is smaller than the sum of its proper divisors (183990814000).

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

51387436800 is an equidigital number, since it uses as much as digits as its factorization.

51387436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51387436800 in words is "fifty-one billion, three hundred eighty-seven million, four hundred thirty-six thousand, eight hundred".