215603305100400 has 1440 divisors, whose sum is σ = 825371600122368. Its totient is φ = 47124416102400.

The previous prime is 215603305100363. The next prime is 215603305100401. The reversal of 215603305100400 is 4001503306512.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215603305100401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 621335173027 + ... + 621335173373.

Almost surely, 2^{215603305100400} is an apocalyptic number.

215603305100400 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 215603305100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412685800061184).

215603305100400 is an abundant number, since it is smaller than the sum of its proper divisors (609768295021968).

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

215603305100400 is a wasteful number, since it uses less digits than its factorization.

215603305100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 987 counting only the distinct ones).

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

Adding to 215603305100400 its reverse (4001503306512), we get a palindrome (219604808406912).

The spelling of 215603305100400 in words is "two hundred fifteen trillion, six hundred three billion, three hundred five million, one hundred thousand, four hundred".