11755421040 has 240 divisors, whose sum is σ = 40201426944. Its totient is φ = 2839457280.

The previous prime is 11755421039. The next prime is 11755421047. The reversal of 11755421040 is 4012455711.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 11755420989 and 11755421007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11755421047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10657129 + ... + 10658231.

Almost surely, 2^11755421040 is an apocalyptic number.

11755421040 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 11755421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100713472).

11755421040 is an abundant number, since it is smaller than the sum of its proper divisors (28446005904).

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

11755421040 is a wasteful number, since it uses less digits than its factorization.

11755421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

Adding to 11755421040 its reverse (4012455711), we get a palindrome (15767876751).

The spelling of 11755421040 in words is "eleven billion, seven hundred fifty-five million, four hundred twenty-one thousand, forty".