5872326422400 has 384 divisors, whose sum is σ = 21496753286400. Its totient is φ = 1565540628480.

The previous prime is 5872326422371. The next prime is 5872326422401. The reversal of 5872326422400 is 42246232785.

5872326422400 is a `hidden beast` number, since 5 + 8 + 7 + 232 + 6 + 4 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5872326422400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872326422401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470268957 + ... + 470281443.

It is an arithmetic number, because the mean of its divisors is an integer number (55981128350).

Almost surely, 2^{5872326422400} is an apocalyptic number.

5872326422400 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 5872326422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748376643200).

5872326422400 is an abundant number, since it is smaller than the sum of its proper divisors (15624426864000).

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

5872326422400 is a wasteful number, since it uses less digits than its factorization.

5872326422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17963 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 5872326422400 in words is "five trillion, eight hundred seventy-two billion, three hundred twenty-six million, four hundred twenty-two thousand, four hundred".