5978865827792 has 320 divisors, whose sum is σ = 14116496486400. Its totient is φ = 2416850472960.

The previous prime is 5978865827791. The next prime is 5978865827801. The reversal of 5978865827792 is 2977285688795.

It is a self number, because there is not a number n which added to its sum of digits gives 5978865827792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978865827791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6505838309 + ... + 6505839227.

It is an arithmetic number, because the mean of its divisors is an integer number (44114051520).

Almost surely, 2^{5978865827792} is an apocalyptic number.

5978865827792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5978865827792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058248243200).

5978865827792 is an abundant number, since it is smaller than the sum of its proper divisors (8137630658608).

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

5978865827792 is a wasteful number, since it uses less digits than its factorization.

5978865827792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 83.

The spelling of 5978865827792 in words is "five trillion, nine hundred seventy-eight billion, eight hundred sixty-five million, eight hundred twenty-seven thousand, seven hundred ninety-two".