11290590000 has 500 divisors, whose sum is σ = 41763393936. Its totient is φ = 2942784000.

The previous prime is 11290589987. The next prime is 11290590013. The reversal of 11290590000 is 9509211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11290589987) and next prime (11290590013).

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42929869 + ... + 42930131.

Almost surely, 2^11290590000 is an apocalyptic number.

11290590000 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 11290590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881696968).

11290590000 is an abundant number, since it is smaller than the sum of its proper divisors (30472803936).

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

11290590000 is an equidigital number, since it uses as much as digits as its factorization.

11290590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 11290590000 in words is "eleven billion, two hundred ninety million, five hundred ninety thousand".