51806170416 has 960 divisors, whose sum is σ = 197093385216. Its totient is φ = 11496038400.

The previous prime is 51806170399. The next prime is 51806170417. The reversal of 51806170416 is 61407160815.

51806170416 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 2×51806170416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51806170417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286221846 + ... + 286222026.

Almost surely, 2^51806170416 is an apocalyptic number.

51806170416 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 51806170416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98546692608).

51806170416 is an abundant number, since it is smaller than the sum of its proper divisors (145287214800).

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

51806170416 is a wasteful number, since it uses less digits than its factorization.

51806170416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

It can be divided in two parts, 51806 and 170416, that added together give a palindrome (222222).

The spelling of 51806170416 in words is "fifty-one billion, eight hundred six million, one hundred seventy thousand, four hundred sixteen".