11370627072 has 504 divisors, whose sum is σ = 41259211056. Its totient is φ = 3057647616.

The previous prime is 11370627071. The next prime is 11370627077. The reversal of 11370627072 is 27072607311.

11370627072 is a `hidden beast` number, since 11 + 370 + 6 + 270 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (11370627071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 668860408 + ... + 668860424.

It is an arithmetic number, because the mean of its divisors is an integer number (81863514).

Almost surely, 2^11370627072 is an apocalyptic number.

11370627072 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 11370627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629605528).

11370627072 is an abundant number, since it is smaller than the sum of its proper divisors (29888583984).

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

11370627072 is an frugal number, since it uses more digits than its factorization.

11370627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 11370627072 in words is "eleven billion, three hundred seventy million, six hundred twenty-seven thousand, seventy-two".