11157201000 has 384 divisors, whose sum is σ = 41395536000. Its totient is φ = 2688000000.

The previous prime is 11157200983. The next prime is 11157201017. The reversal of 11157201000 is 10275111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11157200983) and next prime (11157201017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24848776 + ... + 24849224.

It is an arithmetic number, because the mean of its divisors is an integer number (107800875).

Almost surely, 2^11157201000 is an apocalyptic number.

11157201000 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 11157201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768000).

11157201000 is an abundant number, since it is smaller than the sum of its proper divisors (30238335000).

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

11157201000 is a wasteful number, since it uses less digits than its factorization.

11157201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 11157201000 its reverse (10275111), we get a palindrome (11167476111).

The spelling of 11157201000 in words is "eleven billion, one hundred fifty-seven million, two hundred one thousand".