11306349760 has 224 divisors, whose sum is σ = 29494886400. Its totient is φ = 4112363520.

The previous prime is 11306349727. The next prime is 11306349823. The reversal of 11306349760 is 6794360311.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 42030906 + ... + 42031174.

It is an arithmetic number, because the mean of its divisors is an integer number (131673600).

Almost surely, 2^11306349760 is an apocalyptic number.

11306349760 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 11306349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747443200).

11306349760 is an abundant number, since it is smaller than the sum of its proper divisors (18188536640).

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

11306349760 is a wasteful number, since it uses less digits than its factorization.

11306349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 11306349760 in words is "eleven billion, three hundred six million, three hundred forty-nine thousand, seven hundred sixty".