213205037760 has 1120 divisors, whose sum is σ = 901700154432. Its totient is φ = 47138734080.

The previous prime is 213205037743. The next prime is 213205037767. The reversal of 213205037760 is 67730502312.

213205037760 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 503 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213205037767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 359536024 + ... + 359536616.

Almost surely, 2^213205037760 is an apocalyptic number.

213205037760 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 213205037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450850077216).

213205037760 is an abundant number, since it is smaller than the sum of its proper divisors (688495116672).

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

213205037760 is a wasteful number, since it uses less digits than its factorization.

213205037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 213205037760 in words is "two hundred thirteen billion, two hundred five million, thirty-seven thousand, seven hundred sixty".