11553663440 has 80 divisors (see below), whose sum is σ = 29409206976. Its totient is φ = 4186291200.

The previous prime is 11553663361. The next prime is 11553663479. The reversal of 11553663440 is 4436635511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11553663394 and 11553663403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223919 + ... + 270641.

Almost surely, 2^11553663440 is an apocalyptic number.

11553663440 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 11553663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704603488).

11553663440 is an abundant number, since it is smaller than the sum of its proper divisors (17855543536).

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

11553663440 is a wasteful number, since it uses less digits than its factorization.

11553663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47028 (or 47022 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 11553663440 in words is "eleven billion, five hundred fifty-three million, six hundred sixty-three thousand, four hundred forty".