211986576400 has 45 divisors (see below), whose sum is σ = 509319873943. Its totient is φ = 84790947200.

The previous prime is 211986576377. The next prime is 211986576413. The reversal of 211986576400 is 4675689112.

It is a happy number.

The square root of 211986576400 is 460420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60148543504 + 151838032896 = 245252^2 + 389664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9196890 + ... + 9219910.

Almost surely, 2^211986576400 is an apocalyptic number.

211986576400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211986576400 is the 460420-th square number.

It is an amenable number.

211986576400 is an abundant number, since it is smaller than the sum of its proper divisors (297333297543).

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

211986576400 is an frugal number, since it uses more digits than its factorization.

211986576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46060 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 211986576400 by its sum of digits (49), we get a square (10387342243600 = 3222940²).

The spelling of 211986576400 in words is "two hundred eleven billion, nine hundred eighty-six million, five hundred seventy-six thousand, four hundred".