5967901222800 has 480 divisors, whose sum is σ = 21173150545920. Its totient is φ = 1424747520000.

The previous prime is 5967901222799. The next prime is 5967901222823. The reversal of 5967901222800 is 82221097695.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 945631645 + ... + 945637955.

It is an arithmetic number, because the mean of its divisors is an integer number (44110730304).

Almost surely, 2^{5967901222800} is an apocalyptic number.

5967901222800 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 5967901222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10586575272960).

5967901222800 is an abundant number, since it is smaller than the sum of its proper divisors (15205249323120).

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

5967901222800 is a wasteful number, since it uses less digits than its factorization.

5967901222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 5967901222800 in words is "five trillion, nine hundred sixty-seven billion, nine hundred one million, two hundred twenty-two thousand, eight hundred".