15255312240 has 320 divisors, whose sum is σ = 55845282816. Its totient is φ = 3372834816.

The previous prime is 15255312227. The next prime is 15255312271. The reversal of 15255312240 is 4221355251.

15255312240 = T₂₆₇ + T₂₆₈ + ... + T₄₅₀₆.

15255312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 15255312198 and 15255312207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6498747 + ... + 6501093.

Almost surely, 2^15255312240 is an apocalyptic number.

15255312240 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 15255312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27922641408).

15255312240 is an abundant number, since it is smaller than the sum of its proper divisors (40589970576).

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

15255312240 is a wasteful number, since it uses less digits than its factorization.

15255312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

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

Adding to 15255312240 its reverse (4221355251), we get a palindrome (19476667491).

The spelling of 15255312240 in words is "fifteen billion, two hundred fifty-five million, three hundred twelve thousand, two hundred forty".