213353007390720 has 1344 divisors, whose sum is σ = 800828301312000. Its totient is φ = 52387483484160.

The previous prime is 213353007390619. The next prime is 213353007390749. The reversal of 213353007390720 is 27093700353312.

213353007390720 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 530 + 0 + 7 + 3 + 90 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52305221641 + ... + 52305225719.

Almost surely, 2^{213353007390720} is an apocalyptic number.

213353007390720 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 213353007390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400414150656000).

213353007390720 is an abundant number, since it is smaller than the sum of its proper divisors (587475293921280).

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

213353007390720 is a wasteful number, since it uses less digits than its factorization.

213353007390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 213353007390720 in words is "two hundred thirteen trillion, three hundred fifty-three billion, seven million, three hundred ninety thousand, seven hundred twenty".