20130215188320 has 432 divisors, whose sum is σ = 69942602293200. Its totient is φ = 5272194521088.

The previous prime is 20130215188241. The next prime is 20130215188361. The reversal of 20130215188320 is 2388151203102.

20130215188320 is a `hidden beast` number, since 2 + 0 + 1 + 302 + 15 + 18 + 8 + 320 = 666.

It is a super-3 number, since 3×20130215188320³ (a number of 41 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2255987379 + ... + 2255996301.

It is an arithmetic number, because the mean of its divisors is an integer number (161904171975).

Almost surely, 2^{20130215188320} is an apocalyptic number.

20130215188320 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 20130215188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34971301146600).

20130215188320 is an abundant number, since it is smaller than the sum of its proper divisors (49812387104880).

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

20130215188320 is a wasteful number, since it uses less digits than its factorization.

20130215188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20130215188320 in words is "twenty trillion, one hundred thirty billion, two hundred fifteen million, one hundred eighty-eight thousand, three hundred twenty".