5961826668672 has 512 divisors, whose sum is σ = 20867206348800. Its totient is φ = 1639761408000.

The previous prime is 5961826668661. The next prime is 5961826668691. The reversal of 5961826668672 is 2768666281695.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5961826668672.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143220022 + ... + 143261642.

It is an arithmetic number, because the mean of its divisors is an integer number (40756262400).

Almost surely, 2^{5961826668672} 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 5961826668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433603174400).

5961826668672 is an abundant number, since it is smaller than the sum of its proper divisors (14905379680128).

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

5961826668672 is a wasteful number, since it uses less digits than its factorization.

5961826668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41873 (or 41855 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 5961826668672 in words is "five trillion, nine hundred sixty-one billion, eight hundred twenty-six million, six hundred sixty-eight thousand, six hundred seventy-two".