15315500202240 has 288 divisors, whose sum is σ = 56011452053760. Its totient is φ = 3493805064192.

The previous prime is 15315500202181. The next prime is 15315500202283. The reversal of 15315500202240 is 4220200551351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15315500202198 and 15315500202207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13122222 + ... + 14241618.

It is an arithmetic number, because the mean of its divisors is an integer number (194484208520).

Almost surely, 2^{15315500202240} is an apocalyptic number.

15315500202240 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 15315500202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28005726026880).

15315500202240 is an abundant number, since it is smaller than the sum of its proper divisors (40695951851520).

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

15315500202240 is a wasteful number, since it uses less digits than its factorization.

15315500202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119937 (or 1119923 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 15315500202240 its reverse (4220200551351), we get a palindrome (19535700753591).

The spelling of 15315500202240 in words is "fifteen trillion, three hundred fifteen billion, five hundred million, two hundred two thousand, two hundred forty".