51913259754048 has 2240 divisors, whose sum is σ = 210020164485120. Its totient is φ = 12277769011200.

The previous prime is 51913259754043. The next prime is 51913259754053. The reversal of 51913259754048 is 84045795231915.

It is a happy number.

51913259754048 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 32 + 59 + 7 + 540 + 4 + 8 = 666.

51913259754048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51913259754043) and next prime (51913259754053).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51913259754043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19435887753 + ... + 19435890423.

Almost surely, 2^{51913259754048} is an apocalyptic number.

51913259754048 is a gapful number since it is divisible by the number (58) 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 51913259754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105010082242560).

51913259754048 is an abundant number, since it is smaller than the sum of its proper divisors (158106904731072).

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

51913259754048 is a wasteful number, since it uses less digits than its factorization.

51913259754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 51913259754048 in words is "fifty-one trillion, nine hundred thirteen billion, two hundred fifty-nine million, seven hundred fifty-four thousand, forty-eight".