5096415456 has 432 divisors, whose sum is σ = 17324420400. Its totient is φ = 1454745600.

The previous prime is 5096415451. The next prime is 5096415461. The reversal of 5096415456 is 6545146905.

5096415456 is a `hidden beast` number, since 509 + 6 + 41 + 54 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5096415451) and next prime (5096415461).

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5096415451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124302796 + ... + 124302836.

It is an arithmetic number, because the mean of its divisors is an integer number (40102825).

Almost surely, 2^5096415456 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 5096415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662210200).

5096415456 is an abundant number, since it is smaller than the sum of its proper divisors (12228004944).

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

5096415456 is a wasteful number, since it uses less digits than its factorization.

5096415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5096415456 is about 71389.1830461730. The cubic root of 5096415456 is about 1720.8972531494.

The spelling of 5096415456 in words is "five billion, ninety-six million, four hundred fifteen thousand, four hundred fifty-six".