11200540032 has 640 divisors, whose sum is σ = 39588199200. Its totient is φ = 3105423360.

The previous prime is 11200540031. The next prime is 11200540037. The reversal of 11200540032 is 23004500211.

11200540032 is a `hidden beast` number, since 1 + 120 + 0 + 540 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×11200540032² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200539987 and 11200540014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200540031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102757194 + ... + 102757302.

Almost surely, 2^11200540032 is an apocalyptic number.

11200540032 is a gapful number since it is divisible by the number (12) 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 11200540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794099600).

11200540032 is an abundant number, since it is smaller than the sum of its proper divisors (28387659168).

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

11200540032 is a wasteful number, since it uses less digits than its factorization.

11200540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 11200540032 in words is "eleven billion, two hundred million, five hundred forty thousand, thirty-two".