211513320530400 has 576 divisors, whose sum is σ = 833192214285312. Its totient is φ = 45497734103040.

The previous prime is 211513320530339. The next prime is 211513320530513. The reversal of 211513320530400 is 4035023315112.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3723338797 + ... + 3723395603.

It is an arithmetic number, because the mean of its divisors is an integer number (1446514260912).

Almost surely, 2^{211513320530400} is an apocalyptic number.

211513320530400 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 211513320530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416596107142656).

211513320530400 is an abundant number, since it is smaller than the sum of its proper divisors (621678893754912).

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

211513320530400 is a wasteful number, since it uses less digits than its factorization.

211513320530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69891 (or 69878 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 211513320530400 its reverse (4035023315112), we get a palindrome (215548343845512).

The spelling of 211513320530400 in words is "two hundred eleven trillion, five hundred thirteen billion, three hundred twenty million, five hundred thirty thousand, four hundred".