51364194789600 has 2592 divisors, whose sum is σ = 242359166020608. Its totient is φ = 10383386112000.

The previous prime is 51364194789569. The next prime is 51364194789613. The reversal of 51364194789600 is 698749146315.

51364194789600 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 4 + 19 + 4 + 7 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6092297385 + ... + 6092305815.

Almost surely, 2^{51364194789600} is an apocalyptic number.

51364194789600 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 51364194789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121179583010304).

51364194789600 is an abundant number, since it is smaller than the sum of its proper divisors (190994971231008).

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

51364194789600 is a wasteful number, since it uses less digits than its factorization.

51364194789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 51364194789600 in words is "fifty-one trillion, three hundred sixty-four billion, one hundred ninety-four million, seven hundred eighty-nine thousand, six hundred".