51937054268736 has 896 divisors, whose sum is σ = 174597601812480. Its totient is φ = 13342675746816.

The previous prime is 51937054268573. The next prime is 51937054268789. The reversal of 51937054268736 is 63786245073915.

It is a happy number.

51937054268736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51937054268736² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17890819861 + ... + 17890822763.

It is an arithmetic number, because the mean of its divisors is an integer number (194863394880).

It is a 1-persistent number, because it is pandigital, but 2⋅51937054268736 = 103874108537472 is not.

Almost surely, 2^{51937054268736} is an apocalyptic number.

51937054268736 is a gapful number since it is divisible by the number (56) 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 51937054268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87298800906240).

51937054268736 is an abundant number, since it is smaller than the sum of its proper divisors (122660547543744).

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

51937054268736 is a wasteful number, since it uses less digits than its factorization.

51937054268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 51937054268736 in words is "fifty-one trillion, nine hundred thirty-seven billion, fifty-four million, two hundred sixty-eight thousand, seven hundred thirty-six".