961257605974080 has 112 divisors (see below), whose sum is σ = 3052051113893184. Its totient is φ = 256330472151040.

The previous prime is 961257605974073. The next prime is 961257605974093. The reversal of 961257605974080 is 80479506752169.

It is a junction number, because it is equal to n+sod(n) for n = 961257605973996 and 961257605974014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40944754 + ... + 59991566.

Almost surely, 2^{961257605974080} is an apocalyptic number.

It is an amenable number.

961257605974080 is an abundant number, since it is smaller than the sum of its proper divisors (2090793507919104).

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

961257605974080 is a wasteful number, since it uses less digits than its factorization.

961257605974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19099404 (or 19099394 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 961257605974080 in words is "nine hundred sixty-one trillion, two hundred fifty-seven billion, six hundred five million, nine hundred seventy-four thousand, eighty".