51330314649600 has 2880 divisors, whose sum is σ = 226296262778880. Its totient is φ = 11160413798400.

The previous prime is 51330314649563. The next prime is 51330314649637. The reversal of 51330314649600 is 694641303315.

It is a happy number.

51330314649600 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 0 + 31 + 4 + 6 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (51330314649563) and next prime (51330314649637).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175188787054 + ... + 175188787346.

Almost surely, 2^{51330314649600} is an apocalyptic number.

51330314649600 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 51330314649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113148131389440).

51330314649600 is an abundant number, since it is smaller than the sum of its proper divisors (174965948129280).

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

51330314649600 is a wasteful number, since it uses less digits than its factorization.

51330314649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 51330314649600 in words is "fifty-one trillion, three hundred thirty billion, three hundred fourteen million, six hundred forty-nine thousand, six hundred".