5821770240 has 1280 divisors, whose sum is σ = 26398310400. Its totient is φ = 1194393600.

The previous prime is 5821770193. The next prime is 5821770257. The reversal of 5821770240 is 420771285.

5821770240 is a `hidden beast` number, since 582 + 1 + 7 + 70 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 5821770195 and 5821770204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187799025 + ... + 187799055.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^5821770240 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 5821770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

5821770240 is an abundant number, since it is smaller than the sum of its proper divisors (20576540160).

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

5821770240 is a wasteful number, since it uses less digits than its factorization.

5821770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5821770240 is about 76300.5258173232. The cubic root of 5821770240 is about 1798.9469396000.

The spelling of 5821770240 in words is "five billion, eight hundred twenty-one million, seven hundred seventy thousand, two hundred forty".