5191464960 has 480 divisors, whose sum is σ = 20335114800. Its totient is φ = 1256325120.

The previous prime is 5191464959. The next prime is 5191464961. The reversal of 5191464960 is 694641915.

It is a happy number.

5191464960 is a `hidden beast` number, since 5 + 19 + 146 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5191464959) and next prime (5191464961).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5191464961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123556 + ... + 9124124.

Almost surely, 2^5191464960 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 5191464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167557400).

5191464960 is an abundant number, since it is smaller than the sum of its proper divisors (15143649840).

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

5191464960 is a wasteful number, since it uses less digits than its factorization.

5191464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5191464960 is about 72051.8213510248. The cubic root of 5191464960 is about 1731.5298216869.

The spelling of 5191464960 in words is "five billion, one hundred ninety-one million, four hundred sixty-four thousand, nine hundred sixty".