11504252033040 has 160 divisors (see below), whose sum is σ = 38429152626816. Its totient is φ = 2830145863680.

The previous prime is 11504252032993. The next prime is 11504252033047. The reversal of 11504252033040 is 4033025240511.

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 = 11504252032989 and 11504252033007.

It is not an unprimeable number, because it can be changed into a prime (11504252033047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208235 + ... + 6381045.

Almost surely, 2^{11504252033040} is an apocalyptic number.

11504252033040 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 11504252033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214576313408).

11504252033040 is an abundant number, since it is smaller than the sum of its proper divisors (26924900593776).

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

11504252033040 is a wasteful number, since it uses less digits than its factorization.

11504252033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174537 (or 2174531 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11504252033040 its reverse (4033025240511), we get a palindrome (15537277273551).

The spelling of 11504252033040 in words is "eleven trillion, five hundred four billion, two hundred fifty-two million, thirty-three thousand, forty".