11567888640 has 1512 divisors, whose sum is σ = 55012281408. Its totient is φ = 2299207680.

The previous prime is 11567888627. The next prime is 11567888723. The reversal of 11567888640 is 4688876511.

It is a happy number.

11567888640 is a `hidden beast` number, since 11 + 567 + 8 + 8 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 502951669 + ... + 502951691.

It is an arithmetic number, because the mean of its divisors is an integer number (36383784).

Almost surely, 2^11567888640 is an apocalyptic number.

11567888640 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 11567888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506140704).

11567888640 is an abundant number, since it is smaller than the sum of its proper divisors (43444392768).

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

11567888640 is an equidigital number, since it uses as much as digits as its factorization.

11567888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11567888640 in words is "eleven billion, five hundred sixty-seven million, eight hundred eighty-eight thousand, six hundred forty".