5467222396800 has 2688 divisors, whose sum is σ = 23092050585600. Its totient is φ = 1271133388800.

The previous prime is 5467222396771. The next prime is 5467222396813. The reversal of 5467222396800 is 86932227645.

5467222396800 is a `hidden beast` number, since 546 + 7 + 2 + 2 + 2 + 3 + 96 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 31602441514 + ... + 31602441686.

Almost surely, 2^{5467222396800} is an apocalyptic number.

5467222396800 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 5467222396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546025292800).

5467222396800 is an abundant number, since it is smaller than the sum of its proper divisors (17624828188800).

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

5467222396800 is a wasteful number, since it uses less digits than its factorization.

5467222396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5467222396800 in words is "five trillion, four hundred sixty-seven billion, two hundred twenty-two million, three hundred ninety-six thousand, eight hundred".