15271917349920 has 1536 divisors, whose sum is σ = 63845443952640. Its totient is φ = 2972712960000.

The previous prime is 15271917349883. The next prime is 15271917349921. The reversal of 15271917349920 is 2994371917251.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (15271917349921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38084581720 + ... + 38084582120.

It is an arithmetic number, because the mean of its divisors is an integer number (41566044240).

Almost surely, 2^{15271917349920} is an apocalyptic number.

15271917349920 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 15271917349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922721976320).

15271917349920 is an abundant number, since it is smaller than the sum of its proper divisors (48573526602720).

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

15271917349920 is a wasteful number, since it uses less digits than its factorization.

15271917349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 15271917349920 in words is "fifteen trillion, two hundred seventy-one billion, nine hundred seventeen million, three hundred forty-nine thousand, nine hundred twenty".