5195667456 has 384 divisors, whose sum is σ = 18198835200. Its totient is φ = 1433272320.

The previous prime is 5195667443. The next prime is 5195667469. The reversal of 5195667456 is 6547665915.

5195667456 is a `hidden beast` number, since 5 + 1 + 9 + 566 + 74 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5195667443) and next prime (5195667469).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11999016 + ... + 11999448.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 2^5195667456 is an apocalyptic number.

5195667456 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 5195667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

5195667456 is an abundant number, since it is smaller than the sum of its proper divisors (13003167744).

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

5195667456 is a wasteful number, since it uses less digits than its factorization.

5195667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 5195667456 is about 72080.9784617273. The cubic root of 5195667456 is about 1731.9969207028.

The spelling of 5195667456 in words is "five billion, one hundred ninety-five million, six hundred sixty-seven thousand, four hundred fifty-six".