51149807714304 has 640 divisors, whose sum is σ = 165691812825000. Its totient is φ = 15631204220928.

The previous prime is 51149807714209. The next prime is 51149807714309. The reversal of 51149807714304 is 40341770894115.

51149807714304 is a `hidden beast` number, since 5 + 1 + 1 + 498 + 0 + 7 + 7 + 143 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21821604249600 + 29328203464704 = 4671360^2 + 5415552^2 .

It is a hoax number, since the sum of its digits (54) 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 (54).

It is not an unprimeable number, because it can be changed into a prime (51149807714309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5141195922 + ... + 5141205870.

Almost surely, 2^{51149807714304} is an apocalyptic number.

51149807714304 is a gapful number since it is divisible by the number (54) 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 51149807714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82845906412500).

51149807714304 is an abundant number, since it is smaller than the sum of its proper divisors (114542005110696).

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

51149807714304 is an equidigital number, since it uses as much as digits as its factorization.

51149807714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 51149807714304 in words is "fifty-one trillion, one hundred forty-nine billion, eight hundred seven million, seven hundred fourteen thousand, three hundred four".