5920266240 has 1152 divisors, whose sum is σ = 26889408000. Its totient is φ = 1226244096.

The previous prime is 5920266229. The next prime is 5920266257. The reversal of 5920266240 is 426620295.

5920266240 is a `hidden beast` number, since 5 + 9 + 2 + 0 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 5920266195 and 5920266204.

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, 257402869 + ... + 257402891.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^5920266240 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 5920266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704000).

5920266240 is an abundant number, since it is smaller than the sum of its proper divisors (20969141760).

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

5920266240 is a wasteful number, since it uses less digits than its factorization.

5920266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5920266240 is about 76943.2663720484. The cubic root of 5920266240 is about 1809.0354577232.

The spelling of 5920266240 in words is "five billion, nine hundred twenty million, two hundred sixty-six thousand, two hundred forty".