51361596000 has 864 divisors, whose sum is σ = 216010083744. Its totient is φ = 11480832000.

The previous prime is 51361595963. The next prime is 51361596007. The reversal of 51361596000 is 69516315.

51361596000 is a `hidden beast` number, since 5 + 1 + 3 + 61 + 596 + 0 + 0 + 0 = 666.

51361596000 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 not an unprimeable number, because it can be changed into a prime (51361596007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56627547 + ... + 56628453.

It is an arithmetic number, because the mean of its divisors is an integer number (250011671).

Almost surely, 2^51361596000 is an apocalyptic number.

51361596000 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 51361596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108005041872).

51361596000 is an abundant number, since it is smaller than the sum of its proper divisors (164648487744).

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

51361596000 is a wasteful number, since it uses less digits than its factorization.

51361596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 51361596000 in words is "fifty-one billion, three hundred sixty-one million, five hundred ninety-six thousand".