213720249600 has 1944 divisors, whose sum is σ = 961927870176. Its totient is φ = 46282752000.

The previous prime is 213720249593. The next prime is 213720249623. The reversal of 213720249600 is 6942027312.

213720249600 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 0 + 2 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6894201585 + ... + 6894201615.

Almost surely, 2^213720249600 is an apocalyptic number.

213720249600 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 213720249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480963935088).

213720249600 is an abundant number, since it is smaller than the sum of its proper divisors (748207620576).

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

213720249600 is a wasteful number, since it uses less digits than its factorization.

213720249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 213720249600 in words is "two hundred thirteen billion, seven hundred twenty million, two hundred forty-nine thousand, six hundred".