11245671360 has 1344 divisors, whose sum is σ = 54091514880. Its totient is φ = 2070282240.

The previous prime is 11245671337. The next prime is 11245671391. The reversal of 11245671360 is 6317654211.

11245671360 is a `hidden beast` number, since 1 + 1 + 24 + 567 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71628402 + ... + 71628558.

Almost surely, 2^11245671360 is an apocalyptic number.

11245671360 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 11245671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27045757440).

11245671360 is an abundant number, since it is smaller than the sum of its proper divisors (42845843520).

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

11245671360 is a wasteful number, since it uses less digits than its factorization.

11245671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11245671360 in words is "eleven billion, two hundred forty-five million, six hundred seventy-one thousand, three hundred sixty".