11428085760 has 720 divisors, whose sum is σ = 46438965216. Its totient is φ = 2378170368.

The previous prime is 11428085701. The next prime is 11428085761. The reversal of 11428085760 is 6758082411.

It is a super-2 number, since 2×11428085760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11428085761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156549084 + ... + 156549156.

Almost surely, 2^11428085760 is an apocalyptic number.

11428085760 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 11428085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219482608).

11428085760 is an abundant number, since it is smaller than the sum of its proper divisors (35010879456).

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

11428085760 is an equidigital number, since it uses as much as digits as its factorization.

11428085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11428085760 in words is "eleven billion, four hundred twenty-eight million, eighty-five thousand, seven hundred sixty".