213491376000 has 1280 divisors, whose sum is σ = 919086030720. Its totient is φ = 48107520000.

The previous prime is 213491375989. The next prime is 213491376031. The reversal of 213491376000 is 673194312.

213491376000 is a `hidden beast` number, since 2 + 1 + 3 + 49 + 1 + 3 + 7 + 600 + 0 = 666.

213491376000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 916271884 + ... + 916272116.

Almost surely, 2^213491376000 is an apocalyptic number.

213491376000 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 213491376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459543015360).

213491376000 is an abundant number, since it is smaller than the sum of its proper divisors (705594654720).

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

213491376000 is a wasteful number, since it uses less digits than its factorization.

213491376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 213491376000 in words is "two hundred thirteen billion, four hundred ninety-one million, three hundred seventy-six thousand".