51506067060 has 288 divisors, whose sum is σ = 188173020672. Its totient is φ = 11148825600.

The previous prime is 51506067001. The next prime is 51506067061. The reversal of 51506067060 is 6076060515.

It is a happy number.

51506067060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506067061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2918182 + ... + 2935778.

It is an arithmetic number, because the mean of its divisors is an integer number (653378544).

Almost surely, 2^51506067060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51506067060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94086510336).

51506067060 is an abundant number, since it is smaller than the sum of its proper divisors (136666953612).

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

51506067060 is a wasteful number, since it uses less digits than its factorization.

51506067060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17743 (or 17738 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 51506067060 in words is "fifty-one billion, five hundred six million, sixty-seven thousand, sixty".