5979682275840 has 2880 divisors, whose sum is σ = 27699982801920. Its totient is φ = 1217325957120.

The previous prime is 5979682275803. The next prime is 5979682275851. The reversal of 5979682275840 is 485722869795.

5979682275840 is a `hidden beast` number, since 597 + 9 + 6 + 8 + 2 + 27 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 287 ways as a sum of consecutive naturals, for example, 17743864152 + ... + 17743864488.

It is an arithmetic number, because the mean of its divisors is an integer number (9618049584).

Almost surely, 2^{5979682275840} 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 5979682275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849991400960).

5979682275840 is an abundant number, since it is smaller than the sum of its proper divisors (21720300526080).

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

5979682275840 is a wasteful number, since it uses less digits than its factorization.

5979682275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 5979682275840 in words is "five trillion, nine hundred seventy-nine billion, six hundred eighty-two million, two hundred seventy-five thousand, eight hundred forty".