215222162400 has 2304 divisors, whose sum is σ = 1012255211520. Its totient is φ = 42998169600.

The previous prime is 215222162377. The next prime is 215222162411. The reversal of 215222162400 is 4261222512.

215222162400 is a `hidden beast` number, since 2 + 15 + 2 + 2 + 21 + 624 + 0 + 0 = 666.

215222162400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2948248764 + ... + 2948248836.

It is an arithmetic number, because the mean of its divisors is an integer number (439346880).

Almost surely, 2^215222162400 is an apocalyptic number.

215222162400 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 215222162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506127605760).

215222162400 is an abundant number, since it is smaller than the sum of its proper divisors (797033049120).

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

215222162400 is a wasteful number, since it uses less digits than its factorization.

215222162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 215222162400 its reverse (4261222512), we get a palindrome (219483384912).

The spelling of 215222162400 in words is "two hundred fifteen billion, two hundred twenty-two million, one hundred sixty-two thousand, four hundred".