51361797600 has 576 divisors, whose sum is σ = 190742791680. Its totient is φ = 13334630400.

The previous prime is 51361797577. The next prime is 51361797647. The reversal of 51361797600 is 679716315.

51361797600 is a `hidden beast` number, since 5 + 1 + 36 + 1 + 7 + 9 + 7 + 600 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164095044 + ... + 164095356.

It is an arithmetic number, because the mean of its divisors is an integer number (331150680).

Almost surely, 2^51361797600 is an apocalyptic number.

51361797600 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 51361797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95371395840).

51361797600 is an abundant number, since it is smaller than the sum of its proper divisors (139380994080).

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

51361797600 is a wasteful number, since it uses less digits than its factorization.

51361797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 51361797600 in words is "fifty-one billion, three hundred sixty-one million, seven hundred ninety-seven thousand, six hundred".