11151155600 has 120 divisors (see below), whose sum is σ = 29523027072. Its totient is φ = 4021516800.

The previous prime is 11151155579. The next prime is 11151155611. The reversal of 11151155600 is 655115111.

It is a super-2 number, since 2×11151155600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11151155600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198665 + ... + 248535.

Almost surely, 2^11151155600 is an apocalyptic number.

11151155600 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 11151155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761513536).

11151155600 is an abundant number, since it is smaller than the sum of its proper divisors (18371871472).

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

11151155600 is a wasteful number, since it uses less digits than its factorization.

11151155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49945 (or 49934 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 11151155600 in words is "eleven billion, one hundred fifty-one million, one hundred fifty-five thousand, six hundred".