11375507040 has 192 divisors, whose sum is σ = 37460828160. Its totient is φ = 2898155520.

The previous prime is 11375507021. The next prime is 11375507051. The reversal of 11375507040 is 4070557311.

It is a junction number, because it is equal to n+sod(n) for n = 11375506992 and 11375507010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170682 + ... + 1180358.

It is an arithmetic number, because the mean of its divisors is an integer number (195108480).

Almost surely, 2^11375507040 is an apocalyptic number.

11375507040 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 11375507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730414080).

11375507040 is an abundant number, since it is smaller than the sum of its proper divisors (26085321120).

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

11375507040 is a wasteful number, since it uses less digits than its factorization.

11375507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 11375507040 in words is "eleven billion, three hundred seventy-five million, five hundred seven thousand, forty".