5802976346112 has 640 divisors, whose sum is σ = 19025344800000. Its totient is φ = 1733421957120.

The previous prime is 5802976346099. The next prime is 5802976346117. The reversal of 5802976346112 is 2116436792085.

It is a happy number.

5802976346112 is a `hidden beast` number, since 5 + 8 + 0 + 297 + 6 + 346 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5802976346117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12924223264 + ... + 12924223712.

It is an arithmetic number, because the mean of its divisors is an integer number (29727101250).

It is a 1-persistent number, because it is pandigital, but 2⋅5802976346112 = 11605952692224 is not.

Almost surely, 2^{5802976346112} 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 5802976346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512672400000).

5802976346112 is an abundant number, since it is smaller than the sum of its proper divisors (13222368453888).

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

5802976346112 is an frugal number, since it uses more digits than its factorization.

5802976346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5802976346112 in words is "five trillion, eight hundred two billion, nine hundred seventy-six million, three hundred forty-six thousand, one hundred twelve".