5961271680 has 1024 divisors, whose sum is σ = 27636940800. Its totient is φ = 1178468352.

The previous prime is 5961271621. The next prime is 5961271727. The reversal of 5961271680 is 861721695.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26732049 + ... + 26732271.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^5961271680 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 5961271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

5961271680 is an abundant number, since it is smaller than the sum of its proper divisors (21675669120).

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

5961271680 is a wasteful number, since it uses less digits than its factorization.

5961271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5961271680 is about 77209.2719820618. The cubic root of 5961271680 is about 1813.2024823880.

The spelling of 5961271680 in words is "five billion, nine hundred sixty-one million, two hundred seventy-one thousand, six hundred eighty".