5051864160 has 768 divisors, whose sum is σ = 22156001280. Its totient is φ = 1048412160.

The previous prime is 5051864149. The next prime is 5051864179. The reversal of 5051864160 is 614681505.

5051864160 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 8 + 641 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936322 + ... + 15936638.

It is an arithmetic number, because the mean of its divisors is an integer number (28848960).

Almost surely, 2^5051864160 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 5051864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078000640).

5051864160 is an abundant number, since it is smaller than the sum of its proper divisors (17104137120).

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

5051864160 is a wasteful number, since it uses less digits than its factorization.

5051864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5051864160 is about 71076.4669915437. The cubic root of 5051864160 is about 1715.8680518623.

The spelling of 5051864160 in words is "five billion, fifty-one million, eight hundred sixty-four thousand, one hundred sixty".