11435504087040 has 936 divisors, whose sum is σ = 42455917398384. Its totient is φ = 2625719500800.

The previous prime is 11435504086997. The next prime is 11435504087113. The reversal of 11435504087040 is 4078040553411.

It is a junction number, because it is equal to n+sod(n) for n = 11435504086983 and 11435504087001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2683758510 + ... + 2683762770.

Almost surely, 2^{11435504087040} is an apocalyptic number.

11435504087040 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 11435504087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227958699192).

11435504087040 is an abundant number, since it is smaller than the sum of its proper divisors (31020413311344).

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

11435504087040 is a wasteful number, since it uses less digits than its factorization.

11435504087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 11435504087040 in words is "eleven trillion, four hundred thirty-five billion, five hundred four million, eighty-seven thousand, forty".