213854726400 has 864 divisors, whose sum is σ = 831854757888. Its totient is φ = 47377612800.

The previous prime is 213854726297. The next prime is 213854726441. The reversal of 213854726400 is 4627458312.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 696595047 + ... + 696595353.

Almost surely, 2^213854726400 is an apocalyptic number.

213854726400 is a gapful number since it is divisible by the number (20) 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 213854726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415927378944).

213854726400 is an abundant number, since it is smaller than the sum of its proper divisors (618000031488).

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

213854726400 is a wasteful number, since it uses less digits than its factorization.

213854726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 213854726400 in words is "two hundred thirteen billion, eight hundred fifty-four million, seven hundred twenty-six thousand, four hundred".