215242331324400 has 360 divisors, whose sum is σ = 774672949674624. Its totient is φ = 57393699552000.

The previous prime is 215242331324399. The next prime is 215242331324413. The reversal of 215242331324400 is 4423133242512.

215242331324400 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 4 + 233 + 13 + 2 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×215242331324400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1441109725 + ... + 1441259075.

Almost surely, 2^{215242331324400} is an apocalyptic number.

215242331324400 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 215242331324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387336474837312).

215242331324400 is an abundant number, since it is smaller than the sum of its proper divisors (559430618350224).

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

215242331324400 is a wasteful number, since it uses less digits than its factorization.

215242331324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164211 (or 164188 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 215242331324400 its reverse (4423133242512), we get a palindrome (219665464566912).

The spelling of 215242331324400 in words is "two hundred fifteen trillion, two hundred forty-two billion, three hundred thirty-one million, three hundred twenty-four thousand, four hundred".