11127573072 has 320 divisors, whose sum is σ = 40640256000. Its totient is φ = 2889855360.

The previous prime is 11127573071. The next prime is 11127573073. The reversal of 11127573072 is 27037572111.

It is a happy number.

11127573072 is a `hidden beast` number, since 1 + 1 + 12 + 7 + 573 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (11127573071) and next prime (11127573073).

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 (11127573071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626523 + ... + 1633349.

It is an arithmetic number, because the mean of its divisors is an integer number (127000800).

Almost surely, 2^11127573072 is an apocalyptic number.

11127573072 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 11127573072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320128000).

11127573072 is an abundant number, since it is smaller than the sum of its proper divisors (29512682928).

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

11127573072 is a wasteful number, since it uses less digits than its factorization.

11127573072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6850 counting only the distinct ones).

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

The spelling of 11127573072 in words is "eleven billion, one hundred twenty-seven million, five hundred seventy-three thousand, seventy-two".