11641600000 has 288 divisors, whose sum is σ = 31094416080. Its totient is φ = 4341760000.

The previous prime is 11641599997. The next prime is 11641600013. The reversal of 11641600000 is 614611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108799947 + ... + 108800053.

Almost surely, 2^11641600000 is an apocalyptic number.

11641600000 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 11641600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547208040).

11641600000 is an abundant number, since it is smaller than the sum of its proper divisors (19452816080).

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

11641600000 is an frugal number, since it uses more digits than its factorization.

11641600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 11641600000 in words is "eleven billion, six hundred forty-one million, six hundred thousand".