5541075456 has 160 divisors (see below), whose sum is σ = 16953581568. Its totient is φ = 1575383040.

The previous prime is 5541075413. The next prime is 5541075457. The reversal of 5541075456 is 6545701455.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5541075457) 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, 2396541 + ... + 2398851.

Almost surely, 2^5541075456 is an apocalyptic number.

5541075456 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 5541075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476790784).

5541075456 is an abundant number, since it is smaller than the sum of its proper divisors (11412506112).

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

5541075456 is a wasteful number, since it uses less digits than its factorization.

5541075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The square root of 5541075456 is about 74438.4004126902. The cubic root of 5541075456 is about 1769.5575363110.

The spelling of 5541075456 in words is "five billion, five hundred forty-one million, seventy-five thousand, four hundred fifty-six".