5961574080 has 1120 divisors, whose sum is σ = 27616343040. Its totient is φ = 1184440320.

The previous prime is 5961574067. The next prime is 5961574081. The reversal of 5961574080 is 804751695.

5961574080 is a `hidden beast` number, since 5 + 96 + 157 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×5961574080² = 71080731022655692800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5961574081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57879309 + ... + 57879411.

Almost surely, 2^5961574080 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 5961574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808171520).

5961574080 is an abundant number, since it is smaller than the sum of its proper divisors (21654768960).

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

5961574080 is a wasteful number, since it uses less digits than its factorization.

5961574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5961574080 is about 77211.2302712500. The cubic root of 5961574080 is about 1813.2331415711.

The spelling of 5961574080 in words is "five billion, nine hundred sixty-one million, five hundred seventy-four thousand, eighty".