11037517272 has 128 divisors (see below), whose sum is σ = 31284792000. Its totient is φ = 3604930560.

The previous prime is 11037517241. The next prime is 11037517273. The reversal of 11037517272 is 27271573011.

It is a happy number.

11037517272 is a `hidden beast` number, since 1 + 1 + 0 + 375 + 17 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11037517273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169772 + ... + 2174852.

Almost surely, 2^11037517272 is an apocalyptic number.

11037517272 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 11037517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642396000).

11037517272 is an abundant number, since it is smaller than the sum of its proper divisors (20247274728).

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

11037517272 is a wasteful number, since it uses less digits than its factorization.

11037517272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 11037517272 in words is "eleven billion, thirty-seven million, five hundred seventeen thousand, two hundred seventy-two".