215130342400 has 132 divisors (see below), whose sum is σ = 561330468880. Its totient is φ = 81522892800.

The previous prime is 215130342379. The next prime is 215130342409. The reversal of 215130342400 is 4243031512.

It is a super-2 number, since 2×215130342400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (215130342409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265255 + ... + 707545.

Almost surely, 2^215130342400 is an apocalyptic number.

215130342400 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 215130342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280665234440).

215130342400 is an abundant number, since it is smaller than the sum of its proper divisors (346200126480).

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

215130342400 is a wasteful number, since it uses less digits than its factorization.

215130342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442340 (or 442317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 215130342400 its reverse (4243031512), we get a palindrome (219373373912).

The spelling of 215130342400 in words is "two hundred fifteen billion, one hundred thirty million, three hundred forty-two thousand, four hundred".