11271473760 has 96 divisors (see below), whose sum is σ = 35548057440. Its totient is φ = 3002093568.

The previous prime is 11271473729. The next prime is 11271473767. The reversal of 11271473760 is 6737417211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11271473760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271473767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395676 + ... + 423204.

It is an arithmetic number, because the mean of its divisors is an integer number (370292265).

Almost surely, 2^11271473760 is an apocalyptic number.

11271473760 is a gapful number since it is divisible by the number (10) 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 11271473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774028720).

11271473760 is an abundant number, since it is smaller than the sum of its proper divisors (24276583680).

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

11271473760 is a wasteful number, since it uses less digits than its factorization.

11271473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28400 (or 28392 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 11271473760 in words is "eleven billion, two hundred seventy-one million, four hundred seventy-three thousand, seven hundred sixty".