5457091584 has 176 divisors, whose sum is σ = 16965536000. Its totient is φ = 1558867968.

The previous prime is 5457091561. The next prime is 5457091589. The reversal of 5457091584 is 4851907545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457091589) 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, 1051107 + ... + 1056285.

Almost surely, 2^5457091584 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 5457091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482768000).

5457091584 is an abundant number, since it is smaller than the sum of its proper divisors (11508444416).

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

5457091584 is an equidigital number, since it uses as much as digits as its factorization.

5457091584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The square root of 5457091584 is about 73872.1299544016. The cubic root of 5457091584 is about 1760.5718252128.

The spelling of 5457091584 in words is "five billion, four hundred fifty-seven million, ninety-one thousand, five hundred eighty-four".