5961561088 has 264 divisors, whose sum is σ = 15247611720. Its totient is φ = 2312110080.

The previous prime is 5961561077. The next prime is 5961561091. The reversal of 5961561088 is 8801651695.

It can be written as a sum of positive squares in 4 ways, for example, as 2384564224 + 3576996864 = 48832^2 + 59808^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24736648 + ... + 24736888.

It is an arithmetic number, because the mean of its divisors is an integer number (57756105).

Almost surely, 2^5961561088 is an apocalyptic number.

5961561088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623805860).

5961561088 is an abundant number, since it is smaller than the sum of its proper divisors (9286050632).

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

5961561088 is a wasteful number, since it uses less digits than its factorization.

5961561088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The square root of 5961561088 is about 77211.1461383653. The cubic root of 5961561088 is about 1813.2318243831.

The spelling of 5961561088 in words is "five billion, nine hundred sixty-one million, five hundred sixty-one thousand, eighty-eight".