11246991360 has 384 divisors, whose sum is σ = 39824628480. Its totient is φ = 2686976000.

The previous prime is 11246991331. The next prime is 11246991391. The reversal of 11246991360 is 6319964211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047160 + ... + 28047560.

It is an arithmetic number, because the mean of its divisors is an integer number (103709970).

Almost surely, 2^11246991360 is an apocalyptic number.

11246991360 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 11246991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912314240).

11246991360 is an abundant number, since it is smaller than the sum of its proper divisors (28577637120).

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

11246991360 is a wasteful number, since it uses less digits than its factorization.

11246991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 11246991360 in words is "eleven billion, two hundred forty-six million, nine hundred ninety-one thousand, three hundred sixty".