11503140000 has 480 divisors, whose sum is σ = 42653096640. Its totient is φ = 2688000000.

The previous prime is 11503139941. The next prime is 11503140041. The reversal of 11503140000 is 4130511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19139700 + ... + 19140300.

It is an arithmetic number, because the mean of its divisors is an integer number (88860618).

Almost surely, 2^11503140000 is an apocalyptic number.

11503140000 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 11503140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326548320).

11503140000 is an abundant number, since it is smaller than the sum of its proper divisors (31149956640).

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

11503140000 is a wasteful number, since it uses less digits than its factorization.

11503140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11503140000 its reverse (4130511), we get a palindrome (11507270511).

The spelling of 11503140000 in words is "eleven billion, five hundred three million, one hundred forty thousand".