11299901760 has 1120 divisors, whose sum is σ = 49567795200. Its totient is φ = 2438553600.

The previous prime is 11299901747. The next prime is 11299901761. The reversal of 11299901760 is 6710999211.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11299901761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275607340 + ... + 275607380.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^11299901760 is an apocalyptic number.

11299901760 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 11299901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783897600).

11299901760 is an abundant number, since it is smaller than the sum of its proper divisors (38267893440).

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

11299901760 is an equidigital number, since it uses as much as digits as its factorization.

11299901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 11299901760 in words is "eleven billion, two hundred ninety-nine million, nine hundred one thousand, seven hundred sixty".