5735157120 has 768 divisors, whose sum is σ = 25189332480. Its totient is φ = 1167851520.

The previous prime is 5735157079. The next prime is 5735157133. The reversal of 5735157120 is 217515375.

It is a happy number.

5735157120 is a `hidden beast` number, since 5 + 73 + 515 + 71 + 2 + 0 = 666.

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

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, 29715744 + ... + 29715936.

It is an arithmetic number, because the mean of its divisors is an integer number (32798610).

Almost surely, 2^5735157120 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 5735157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594666240).

5735157120 is an abundant number, since it is smaller than the sum of its proper divisors (19454175360).

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

5735157120 is a wasteful number, since it uses less digits than its factorization.

5735157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5735157120 is about 75730.8201460938. The cubic root of 5735157120 is about 1789.9810782099.

The spelling of 5735157120 in words is "five billion, seven hundred thirty-five million, one hundred fifty-seven thousand, one hundred twenty".