51374269987200 has 1152 divisors, whose sum is σ = 195826004637120. Its totient is φ = 12779622236160.

The previous prime is 51374269987193. The next prime is 51374269987219. The reversal of 51374269987200 is 278996247315.

51374269987200 is a `hidden beast` number, since 5 + 13 + 74 + 269 + 98 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49733077884 + ... + 49733078916.

It is a 1-persistent number, because it is pandigital, but 2⋅51374269987200 = 102748539974400 is not.

Almost surely, 2^{51374269987200} is an apocalyptic number.

51374269987200 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 51374269987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913002318560).

51374269987200 is an abundant number, since it is smaller than the sum of its proper divisors (144451734649920).

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

51374269987200 is a wasteful number, since it uses less digits than its factorization.

51374269987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 51374269987200 in words is "fifty-one trillion, three hundred seventy-four billion, two hundred sixty-nine million, nine hundred eighty-seven thousand, two hundred".