17215273152 has 672 divisors, whose sum is σ = 66948710400. Its totient is φ = 4093286400.

The previous prime is 17215273147. The next prime is 17215273157. The reversal of 17215273152 is 25137251271.

It is an interprime number because it is at equal distance from previous prime (17215273147) and next prime (17215273157).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (17215273157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26122999 + ... + 26123657.

Almost surely, 2^17215273152 is an apocalyptic number.

17215273152 is a gapful number since it is divisible by the number (12) 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 17215273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33474355200).

17215273152 is an abundant number, since it is smaller than the sum of its proper divisors (49733437248).

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

17215273152 is a wasteful number, since it uses less digits than its factorization.

17215273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The spelling of 17215273152 in words is "seventeen billion, two hundred fifteen million, two hundred seventy-three thousand, one hundred fifty-two".