11504153040 has 160 divisors (see below), whose sum is σ = 36050192640. Its totient is φ = 3034632192.

The previous prime is 11504153033. The next prime is 11504153047. The reversal of 11504153040 is 4035140511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11504153033) and next prime (11504153047).

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 11504153040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504153047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14433922 + ... + 14434718.

It is an arithmetic number, because the mean of its divisors is an integer number (225313704).

Almost surely, 2^11504153040 is an apocalyptic number.

11504153040 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 11504153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025096320).

11504153040 is an abundant number, since it is smaller than the sum of its proper divisors (24546039600).

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

11504153040 is a wasteful number, since it uses less digits than its factorization.

11504153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11504153040 its reverse (4035140511), we get a palindrome (15539293551).

The spelling of 11504153040 in words is "eleven billion, five hundred four million, one hundred fifty-three thousand, forty".