213500647895040 has 1664 divisors, whose sum is σ = 841504578877440. Its totient is φ = 51556716380160.

The previous prime is 213500647894997. The next prime is 213500647895153. The reversal of 213500647895040 is 40598746005312.

It is a happy number.

213500647895040 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 0 + 0 + 64 + 78 + 9 + 504 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 156181892437 + ... + 156181893803.

It is a 1-persistent number, because it is pandigital, but 2⋅213500647895040 = 427001295790080 is not.

Almost surely, 2^{213500647895040} is an apocalyptic number.

213500647895040 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 213500647895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420752289438720).

213500647895040 is an abundant number, since it is smaller than the sum of its proper divisors (628003930982400).

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

213500647895040 is an equidigital number, since it uses as much as digits as its factorization.

213500647895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 213500647895040 in words is "two hundred thirteen trillion, five hundred billion, six hundred forty-seven million, eight hundred ninety-five thousand, forty".