5955505920 has 1296 divisors, whose sum is σ = 28009013760. Its totient is φ = 1138655232.

The previous prime is 5955505837. The next prime is 5955505951. The reversal of 5955505920 is 295055595.

It is a happy number.

5955505920 is a `hidden beast` number, since 5 + 9 + 5 + 5 + 50 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258935029 + ... + 258935051.

Almost surely, 2^5955505920 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 5955505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004506880).

5955505920 is an abundant number, since it is smaller than the sum of its proper divisors (22053507840).

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

5955505920 is a wasteful number, since it uses less digits than its factorization.

5955505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 45.

The square root of 5955505920 is about 77171.9244285122. The cubic root of 5955505920 is about 1812.6177155096.

The spelling of 5955505920 in words is "five billion, nine hundred fifty-five million, five hundred five thousand, nine hundred twenty".