11211507616 has 72 divisors (see below), whose sum is σ = 24204410496. Its totient is φ = 5105679360.

The previous prime is 11211507581. The next prime is 11211507679. The reversal of 11211507616 is 61670511211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267135 + ... + 306241.

It is an arithmetic number, because the mean of its divisors is an integer number (336172368).

Almost surely, 2^11211507616 is an apocalyptic number.

11211507616 is a gapful number since it is divisible by the number (16) 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 11211507616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102205248).

11211507616 is an abundant number, since it is smaller than the sum of its proper divisors (12992902880).

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

11211507616 is a wasteful number, since it uses less digits than its factorization.

11211507616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39182 (or 39157 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 11211507616 in words is "eleven billion, two hundred eleven million, five hundred seven thousand, six hundred sixteen".