11917406880 has 240 divisors, whose sum is σ = 43416705024. Its totient is φ = 3075356160.

The previous prime is 11917406869. The next prime is 11917406899. The reversal of 11917406880 is 8860471911.

It is a happy number.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386929 + ... + 416591.

Almost surely, 2^11917406880 is an apocalyptic number.

11917406880 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 11917406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21708352512).

11917406880 is an abundant number, since it is smaller than the sum of its proper divisors (31499298144).

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

11917406880 is a wasteful number, since it uses less digits than its factorization.

11917406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29721 (or 29704 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11917406880 in words is "eleven billion, nine hundred seventeen million, four hundred six thousand, eight hundred eighty".