213735075840 has 2080 divisors, whose sum is σ = 971066771136. Its totient is φ = 44166021120.

The previous prime is 213735075803. The next prime is 213735075847. The reversal of 213735075840 is 48570537312.

213735075840 is a `hidden beast` number, since 2 + 1 + 37 + 35 + 0 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213735075847) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4032737254 + ... + 4032737306.

Almost surely, 2^213735075840 is an apocalyptic number.

213735075840 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 213735075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485533385568).

213735075840 is an abundant number, since it is smaller than the sum of its proper divisors (757331695296).

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

213735075840 is a wasteful number, since it uses less digits than its factorization.

213735075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 213735075840 in words is "two hundred thirteen billion, seven hundred thirty-five million, seventy-five thousand, eight hundred forty".