15217082865240 has 256 divisors, whose sum is σ = 47290687488000. Its totient is φ = 3915422945280.

The previous prime is 15217082865223. The next prime is 15217082865241. The reversal of 15217082865240 is 4256828071251.

It is a happy number.

It is a super-2 number, since 2×15217082865240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15217082865241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82646001 + ... + 82829919.

It is an arithmetic number, because the mean of its divisors is an integer number (184729248000).

Almost surely, 2^{15217082865240} is an apocalyptic number.

15217082865240 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 15217082865240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645343744000).

15217082865240 is an abundant number, since it is smaller than the sum of its proper divisors (32073604622760).

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

15217082865240 is a wasteful number, since it uses less digits than its factorization.

15217082865240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184210 (or 184206 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 15217082865240 in words is "fifteen trillion, two hundred seventeen billion, eighty-two million, eight hundred sixty-five thousand, two hundred forty".