51638252837430 has 256 divisors, whose sum is σ = 149058493857792. Its totient is φ = 11199651840000.

The previous prime is 51638252837393. The next prime is 51638252837443. The reversal of 51638252837430 is 3473825283615.

It is a super-2 number, since 2×51638252837430² (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 (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 552346290 + ... + 552439770.

It is an arithmetic number, because the mean of its divisors is an integer number (582259741632).

Almost surely, 2^{51638252837430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51638252837430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74529246928896).

51638252837430 is an abundant number, since it is smaller than the sum of its proper divisors (97420241020362).

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

51638252837430 is a wasteful number, since it uses less digits than its factorization.

51638252837430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95183.

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 51638252837430 in words is "fifty-one trillion, six hundred thirty-eight billion, two hundred fifty-two million, eight hundred thirty-seven thousand, four hundred thirty".