5872612549200 has 480 divisors, whose sum is σ = 19788720107520. Its totient is φ = 1485862963200.

The previous prime is 5872612549129. The next prime is 5872612549207. The reversal of 5872612549200 is 29452162785.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872612549207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312961531 + ... + 2312964069.

It is an arithmetic number, because the mean of its divisors is an integer number (41226500224).

Almost surely, 2^{5872612549200} is an apocalyptic number.

5872612549200 is a gapful number since it is divisible by the number (50) 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 5872612549200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894360053760).

5872612549200 is an abundant number, since it is smaller than the sum of its proper divisors (13916107558320).

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

5872612549200 is a wasteful number, since it uses less digits than its factorization.

5872612549200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 5872612549200 in words is "five trillion, eight hundred seventy-two billion, six hundred twelve million, five hundred forty-nine thousand, two hundred".