213717272940 has 288 divisors, whose sum is σ = 679990671360. Its totient is φ = 54287866368.

The previous prime is 213717272927. The next prime is 213717272969. The reversal of 213717272940 is 49272717312.

213717272940 is a `hidden beast` number, since 2 + 1 + 371 + 7 + 272 + 9 + 4 + 0 = 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, 51409342 + ... + 51413498.

It is an arithmetic number, because the mean of its divisors is an integer number (2361078720).

Almost surely, 2^213717272940 is an apocalyptic number.

213717272940 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 213717272940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339995335680).

213717272940 is an abundant number, since it is smaller than the sum of its proper divisors (466273398420).

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

213717272940 is a wasteful number, since it uses less digits than its factorization.

213717272940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 213717272940 in words is "two hundred thirteen billion, seven hundred seventeen million, two hundred seventy-two thousand, nine hundred forty".