5367267942400 has 672 divisors, whose sum is σ = 16556009722560. Its totient is φ = 1680573726720.

The previous prime is 5367267942359. The next prime is 5367267942473. The reversal of 5367267942400 is 42497627635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807768116 + ... + 1807771084.

It is an arithmetic number, because the mean of its divisors is an integer number (24636919230).

Almost surely, 2^{5367267942400} is an apocalyptic number.

5367267942400 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 5367267942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278004861280).

5367267942400 is an abundant number, since it is smaller than the sum of its proper divisors (11188741780160).

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

5367267942400 is a wasteful number, since it uses less digits than its factorization.

5367267942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 5367267942400 in words is "five trillion, three hundred sixty-seven billion, two hundred sixty-seven million, nine hundred forty-two thousand, four hundred".