51272462541300 has 1152 divisors, whose sum is σ = 206300035952640. Its totient is φ = 9483805900800.

The previous prime is 51272462541269. The next prime is 51272462541317. The reversal of 51272462541300 is 314526427215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8247135792 + ... + 8247142008.

It is an arithmetic number, because the mean of its divisors is an integer number (179079892320).

Almost surely, 2^{51272462541300} is an apocalyptic number.

51272462541300 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 51272462541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103150017976320).

51272462541300 is an abundant number, since it is smaller than the sum of its proper divisors (155027573411340).

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

51272462541300 is a wasteful number, since it uses less digits than its factorization.

51272462541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 51272462541300 its reverse (314526427215), we get a palindrome (51586988968515).

The spelling of 51272462541300 in words is "fifty-one trillion, two hundred seventy-two billion, four hundred sixty-two million, five hundred forty-one thousand, three hundred".