15320135040 has 512 divisors, whose sum is σ = 57905971200. Its totient is φ = 3372834816.

The previous prime is 15320135029. The next prime is 15320135059. The reversal of 15320135040 is 4053102351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15320135040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49902567 + ... + 49902873.

It is an arithmetic number, because the mean of its divisors is an integer number (113097600).

Almost surely, 2^15320135040 is an apocalyptic number.

15320135040 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 15320135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952985600).

15320135040 is an abundant number, since it is smaller than the sum of its proper divisors (42585836160).

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

15320135040 is a wasteful number, since it uses less digits than its factorization.

15320135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 15320135040 its reverse (4053102351), we get a palindrome (19373237391).

The spelling of 15320135040 in words is "fifteen billion, three hundred twenty million, one hundred thirty-five thousand, forty".