5345159040 has 864 divisors, whose sum is σ = 22348801800. Its totient is φ = 1173159936.

The previous prime is 5345159033. The next prime is 5345159069. The reversal of 5345159040 is 409515435.

5345159040 is a `hidden beast` number, since 53 + 4 + 515 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5345158986 and 5345159004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 281324151 + ... + 281324169.

Almost surely, 2^5345159040 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 5345159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174400900).

5345159040 is an abundant number, since it is smaller than the sum of its proper divisors (17003642760).

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

5345159040 is a wasteful number, since it uses less digits than its factorization.

5345159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5345159040 is about 73110.5945810865. The cubic root of 5345159040 is about 1748.4513145006.

The spelling of 5345159040 in words is "five billion, three hundred forty-five million, one hundred fifty-nine thousand, forty".