5905659240 has 512 divisors, whose sum is σ = 22752576000. Its totient is φ = 1349664768.

The previous prime is 5905659233. The next prime is 5905659251. The reversal of 5905659240 is 429565095.

It is a happy number.

5905659240 is a `hidden beast` number, since 5 + 9 + 0 + 56 + 592 + 4 + 0 = 666.

It is a super-2 number, since 2×5905659240² = 69753622117994755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26016007 + ... + 26016233.

It is an arithmetic number, because the mean of its divisors is an integer number (44438625).

Almost surely, 2^5905659240 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 5905659240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376288000).

5905659240 is an abundant number, since it is smaller than the sum of its proper divisors (16846916760).

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

5905659240 is a wasteful number, since it uses less digits than its factorization.

5905659240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5905659240 is about 76848.2871637358. The cubic root of 5905659240 is about 1807.5464287931.

The spelling of 5905659240 in words is "five billion, nine hundred five million, six hundred fifty-nine thousand, two hundred forty".