11238655680 has 672 divisors, whose sum is σ = 46661222400. Its totient is φ = 2479196160.

The previous prime is 11238655663. The next prime is 11238655709. The reversal of 11238655680 is 8655683211.

11238655680 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 86 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30622857 + ... + 30623223.

Almost surely, 2^11238655680 is an apocalyptic number.

11238655680 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 11238655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23330611200).

11238655680 is an abundant number, since it is smaller than the sum of its proper divisors (35422566720).

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

11238655680 is a wasteful number, since it uses less digits than its factorization.

11238655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11238655680 in words is "eleven billion, two hundred thirty-eight million, six hundred fifty-five thousand, six hundred eighty".