213957504768 has 432 divisors, whose sum is σ = 692759674880. Its totient is φ = 57382649856.

The previous prime is 213957504767. The next prime is 213957504769. The reversal of 213957504768 is 867405759312.

It is an interprime number because it is at equal distance from previous prime (213957504767) and next prime (213957504769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213957504767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 167284353 + ... + 167285631.

It is a 1-persistent number, because it is pandigital, but 2⋅213957504768 = 427915009536 is not.

Almost surely, 2^213957504768 is an apocalyptic number.

213957504768 is a gapful number since it is divisible by the number (28) 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 213957504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346379837440).

213957504768 is an abundant number, since it is smaller than the sum of its proper divisors (478802170112).

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

213957504768 is a wasteful number, since it uses less digits than its factorization.

213957504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 213957504768 in words is "two hundred thirteen billion, nine hundred fifty-seven million, five hundred four thousand, seven hundred sixty-eight".