11458745760 has 768 divisors, whose sum is σ = 47433351168. Its totient is φ = 2256076800.

The previous prime is 11458745759. The next prime is 11458745789. The reversal of 11458745760 is 6754785411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83640412 + ... + 83640548.

It is an arithmetic number, because the mean of its divisors is an integer number (61762176).

Almost surely, 2^11458745760 is an apocalyptic number.

11458745760 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 11458745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716675584).

11458745760 is an abundant number, since it is smaller than the sum of its proper divisors (35974605408).

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

11458745760 is a wasteful number, since it uses less digits than its factorization.

11458745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 11458745760 in words is "eleven billion, four hundred fifty-eight million, seven hundred forty-five thousand, seven hundred sixty".