11462225760 has 240 divisors, whose sum is σ = 42582078000. Its totient is φ = 2895657984.

The previous prime is 11462225711. The next prime is 11462225807. The reversal of 11462225760 is 6752226411.

It is a happy number.

11462225760 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 22 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 222966 + ... + 269514.

It is an arithmetic number, because the mean of its divisors is an integer number (177425325).

Almost surely, 2^11462225760 is an apocalyptic number.

11462225760 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 11462225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291039000).

11462225760 is an abundant number, since it is smaller than the sum of its proper divisors (31119852240).

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

11462225760 is a wasteful number, since it uses less digits than its factorization.

11462225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46595 (or 46578 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11462225760 in words is "eleven billion, four hundred sixty-two million, two hundred twenty-five thousand, seven hundred sixty".