5417875456 has 192 divisors, whose sum is σ = 13032714240. Its totient is φ = 2202992640.

The previous prime is 5417875453. The next prime is 5417875457. The reversal of 5417875456 is 6545787145.

Its product of digits (4704000) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417875453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32442285 + ... + 32442451.

It is an arithmetic number, because the mean of its divisors is an integer number (67878720).

Almost surely, 2^5417875456 is an apocalyptic number.

5417875456 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 5417875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516357120).

5417875456 is an abundant number, since it is smaller than the sum of its proper divisors (7614838784).

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

5417875456 is a wasteful number, since it uses less digits than its factorization.

5417875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 52.

The square root of 5417875456 is about 73606.2188677017. The cubic root of 5417875456 is about 1756.3443682004.

The spelling of 5417875456 in words is "five billion, four hundred seventeen million, eight hundred seventy-five thousand, four hundred fifty-six".