215104172603904 has 400 divisors, whose sum is σ = 661219870291200. Its totient is φ = 69569009934336.

The previous prime is 215104172603899. The next prime is 215104172603911. The reversal of 215104172603904 is 409306271401512.

215104172603904 is a `hidden beast` number, since 2 + 1 + 510 + 4 + 1 + 72 + 60 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×215104172603904² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215104172603904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550677337 + ... + 551067815.

It is an arithmetic number, because the mean of its divisors is an integer number (1653049675728).

Almost surely, 2^{215104172603904} is an apocalyptic number.

215104172603904 is a gapful number since it is divisible by the number (24) 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 215104172603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330609935145600).

215104172603904 is an abundant number, since it is smaller than the sum of its proper divisors (446115697687296).

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

215104172603904 is an equidigital number, since it uses as much as digits as its factorization.

215104172603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390905 (or 390880 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 215104172603904 in words is "two hundred fifteen trillion, one hundred four billion, one hundred seventy-two million, six hundred three thousand, nine hundred four".