5406261120 has 768 divisors, whose sum is σ = 22134228480. Its totient is φ = 1203240960.

The previous prime is 5406261073. The next prime is 5406261143. The reversal of 5406261120 is 211626045.

5406261120 is a `hidden beast` number, since 5 + 4 + 0 + 626 + 11 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39461692 + ... + 39461828.

It is an arithmetic number, because the mean of its divisors is an integer number (28820610).

Almost surely, 2^5406261120 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 5406261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067114240).

5406261120 is an abundant number, since it is smaller than the sum of its proper divisors (16727967360).

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

5406261120 is a wasteful number, since it uses less digits than its factorization.

5406261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5406261120 is about 73527.2814674934. The cubic root of 5406261120 is about 1755.0884412537.

Adding to 5406261120 its reverse (211626045), we get a palindrome (5617887165).

The spelling of 5406261120 in words is "five billion, four hundred six million, two hundred sixty-one thousand, one hundred twenty".