51346713600 has 1584 divisors, whose sum is σ = 236527083520. Its totient is φ = 10351411200.

The previous prime is 51346713559. The next prime is 51346713641. The reversal of 51346713600 is 631764315.

51346713600 is a `hidden beast` number, since 5 + 1 + 3 + 46 + 7 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (51346713559) and next prime (51346713641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649958361 + ... + 649958439.

Almost surely, 2^51346713600 is an apocalyptic number.

51346713600 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 51346713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118263541760).

51346713600 is an abundant number, since it is smaller than the sum of its proper divisors (185180369920).

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

51346713600 is a wasteful number, since it uses less digits than its factorization.

51346713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 51346713600 in words is "fifty-one billion, three hundred forty-six million, seven hundred thirteen thousand, six hundred".