215200130030420 has 768 divisors, whose sum is σ = 542414444544000. Its totient is φ = 71138916237312.

The previous prime is 215200130030411. The next prime is 215200130030441. The reversal of 215200130030420 is 24030031002512.

It is a super-2 number, since 2×215200130030420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166951225136 + ... + 166951226424.

It is an arithmetic number, because the mean of its divisors is an integer number (706268808000).

Almost surely, 2^{215200130030420} is an apocalyptic number.

215200130030420 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 215200130030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271207222272000).

215200130030420 is an abundant number, since it is smaller than the sum of its proper divisors (327214314513580).

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

215200130030420 is a wasteful number, since it uses less digits than its factorization.

215200130030420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 215200130030420 its reverse (24030031002512), we get a palindrome (239230161032932).

The spelling of 215200130030420 in words is "two hundred fifteen trillion, two hundred billion, one hundred thirty million, thirty thousand, four hundred twenty".