211712785640400 has 480 divisors, whose sum is σ = 778870254113280. Its totient is φ = 48617328384000.

The previous prime is 211712785640399. The next prime is 211712785640413. The reversal of 211712785640400 is 4046587217112.

It is a super-2 number, since 2×211712785640400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211712785640400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2362741999 + ... + 2362831601.

It is an arithmetic number, because the mean of its divisors is an integer number (1622646362736).

Almost surely, 2^{211712785640400} is an apocalyptic number.

211712785640400 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 211712785640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389435127056640).

211712785640400 is an abundant number, since it is smaller than the sum of its proper divisors (567157468472880).

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

211712785640400 is a wasteful number, since it uses less digits than its factorization.

211712785640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99075 (or 99064 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 211712785640400 in words is "two hundred eleven trillion, seven hundred twelve billion, seven hundred eighty-five million, six hundred forty thousand, four hundred".