10215181383680 has 1536 divisors, whose sum is σ = 32691859200000. Its totient is φ = 2977072939008.

The previous prime is 10215181383653. The next prime is 10215181383731. The reversal of 10215181383680 is 8638318151201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68558264246 + ... + 68558264394.

It is an arithmetic number, because the mean of its divisors is an integer number (21283762500).

Almost surely, 2^{10215181383680} is an apocalyptic number.

10215181383680 is a gapful number since it is divisible by the number (10) 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 10215181383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600000).

10215181383680 is an abundant number, since it is smaller than the sum of its proper divisors (22476677816320).

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

10215181383680 is a wasteful number, since it uses less digits than its factorization.

10215181383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The spelling of 10215181383680 in words is "ten trillion, two hundred fifteen billion, one hundred eighty-one million, three hundred eighty-three thousand, six hundred eighty".