213973222579200 has 7920 divisors, whose sum is σ = 1041987901363200. Its totient is φ = 43041167769600.

The previous prime is 213973222579169. The next prime is 213973222579231. The reversal of 213973222579200 is 2975222379312.

213973222579200 is a `hidden beast` number, since 2 + 1 + 3 + 97 + 322 + 25 + 7 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (213973222579169) and next prime (213973222579231).

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 719 ways as a sum of consecutive naturals, for example, 2708521804761 + ... + 2708521804839.

It is an arithmetic number, because the mean of its divisors is an integer number (131564128960).

Almost surely, 2^{213973222579200} is an apocalyptic number.

213973222579200 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 213973222579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520993950681600).

213973222579200 is an abundant number, since it is smaller than the sum of its proper divisors (828014678784000).

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

213973222579200 is a wasteful number, since it uses less digits than its factorization.

213973222579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 213973222579200 in words is "two hundred thirteen trillion, nine hundred seventy-three billion, two hundred twenty-two million, five hundred seventy-nine thousand, two hundred".