5151191760 has 960 divisors, whose sum is σ = 22521058560. Its totient is φ = 1074954240.

The previous prime is 5151191737. The next prime is 5151191767. The reversal of 5151191760 is 671911515.

5151191760 is a `hidden beast` number, since 51 + 511 + 91 + 7 + 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 not an unprimeable number, because it can be changed into a prime (5151191767) 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, 47258586 + ... + 47258694.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^5151191760 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 5151191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

5151191760 is an abundant number, since it is smaller than the sum of its proper divisors (17369866800).

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

5151191760 is a wasteful number, since it uses less digits than its factorization.

5151191760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The square root of 5151191760 is about 71771.8033770923. The cubic root of 5151191760 is about 1727.0407001818.

The spelling of 5151191760 in words is "five billion, one hundred fifty-one million, one hundred ninety-one thousand, seven hundred sixty".