11634887040 has 256 divisors, whose sum is σ = 44878302720. Its totient is φ = 2502918144.

The previous prime is 11634887039. The next prime is 11634887041. The reversal of 11634887040 is 4078843611.

It is an interprime number because it is at equal distance from previous prime (11634887039) and next prime (11634887041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11634886983 and 11634887001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634887041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203019 + ... + 253941.

It is an arithmetic number, because the mean of its divisors is an integer number (175305870).

Almost surely, 2^11634887040 is an apocalyptic number.

11634887040 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 11634887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439151360).

11634887040 is an abundant number, since it is smaller than the sum of its proper divisors (33243415680).

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

11634887040 is a wasteful number, since it uses less digits than its factorization.

11634887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50969 (or 50957 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11634887040 in words is "eleven billion, six hundred thirty-four million, eight hundred eighty-seven thousand, forty".