11610557000 has 128 divisors (see below), whose sum is σ = 31560122880. Its totient is φ = 3915360000.

The previous prime is 11610556999. The next prime is 11610557003. The reversal of 11610557000 is 75501611.

It is not an unprimeable number, because it can be changed into a prime (11610557003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413405 + ... + 440595.

It is an arithmetic number, because the mean of its divisors is an integer number (246563460).

Almost surely, 2^11610557000 is an apocalyptic number.

11610557000 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 11610557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780061440).

11610557000 is an abundant number, since it is smaller than the sum of its proper divisors (19949565880).

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

11610557000 is a wasteful number, since it uses less digits than its factorization.

11610557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27280 (or 27266 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 11610557000 in words is "eleven billion, six hundred ten million, five hundred fifty-seven thousand".