11475133600 has 576 divisors, whose sum is σ = 35997696000. Its totient is φ = 3556224000.

The previous prime is 11475133597. The next prime is 11475133609. The reversal of 11475133600 is 633157411.

It is a super-2 number, since 2×11475133600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11475133609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161621565 + ... + 161621635.

It is an arithmetic number, because the mean of its divisors is an integer number (62496000).

Almost surely, 2^11475133600 is an apocalyptic number.

11475133600 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 11475133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848000).

11475133600 is an abundant number, since it is smaller than the sum of its proper divisors (24522562400).

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

11475133600 is a wasteful number, since it uses less digits than its factorization.

11475133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 11475133600 in words is "eleven billion, four hundred seventy-five million, one hundred thirty-three thousand, six hundred".