11262360672 has 72 divisors (see below), whose sum is σ = 32161540320. Its totient is φ = 3738389760.

The previous prime is 11262360607. The next prime is 11262360673. The reversal of 11262360672 is 27606326211.

11262360672 is a `hidden beast` number, since 1 + 1 + 26 + 23 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (11262360673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12979 + ... + 150642.

It is an arithmetic number, because the mean of its divisors is an integer number (446688060).

Almost surely, 2^11262360672 is an apocalyptic number.

11262360672 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 11262360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080770160).

11262360672 is an abundant number, since it is smaller than the sum of its proper divisors (20899179648).

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

11262360672 is a wasteful number, since it uses less digits than its factorization.

11262360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163876 (or 163865 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 11262360672 its reverse (27606326211), we get a palindrome (38868686883).

The spelling of 11262360672 in words is "eleven billion, two hundred sixty-two million, three hundred sixty thousand, six hundred seventy-two".