11272153104 has 200 divisors, whose sum is σ = 34509200000. Its totient is φ = 3542310144.

The previous prime is 11272153103. The next prime is 11272153111. The reversal of 11272153104 is 40135127211.

11272153104 is a `hidden beast` number, since 1 + 127 + 2 + 1 + 531 + 0 + 4 = 666.

It is a super-2 number, since 2×11272153104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11272153103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5637897 + ... + 5639895.

It is an arithmetic number, because the mean of its divisors is an integer number (172546000).

Almost surely, 2^11272153104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254600000).

11272153104 is an abundant number, since it is smaller than the sum of its proper divisors (23237046896).

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

11272153104 is a wasteful number, since it uses less digits than its factorization.

11272153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11272153104 in words is "eleven billion, two hundred seventy-two million, one hundred fifty-three thousand, one hundred four".