11655125600 has 144 divisors (see below), whose sum is σ = 28978145280. Its totient is φ = 4576780800.

The previous prime is 11655125569. The next prime is 11655125611. The reversal of 11655125600 is 652155611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 12681941 + ... + 12682859.

It is an arithmetic number, because the mean of its divisors is an integer number (201237120).

Almost surely, 2^11655125600 is an apocalyptic number.

11655125600 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 11655125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489072640).

11655125600 is an abundant number, since it is smaller than the sum of its proper divisors (17323019680).

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

11655125600 is a wasteful number, since it uses less digits than its factorization.

11655125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 11655125600 in words is "eleven billion, six hundred fifty-five million, one hundred twenty-five thousand, six hundred".