5653761120 has 720 divisors, whose sum is σ = 24089289840. Its totient is φ = 1243662336.

The previous prime is 5653761097. The next prime is 5653761137. The reversal of 5653761120 is 211673565.

5653761120 is a `hidden beast` number, since 5 + 6 + 5 + 37 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 18416007 + ... + 18416313.

It is an arithmetic number, because the mean of its divisors is an integer number (33457347).

Almost surely, 2^5653761120 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 5653761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044644920).

5653761120 is an abundant number, since it is smaller than the sum of its proper divisors (18435528720).

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

5653761120 is a wasteful number, since it uses less digits than its factorization.

5653761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5653761120 is about 75191.4963277098. The cubic root of 5653761120 is about 1781.4726188244.

The spelling of 5653761120 in words is "five billion, six hundred fifty-three million, seven hundred sixty-one thousand, one hundred twenty".