11273556672 has 560 divisors, whose sum is σ = 40893431040. Its totient is φ = 2999420928.

The previous prime is 11273556661. The next prime is 11273556709. The reversal of 11273556672 is 27665537211.

It is a happy number.

11273556672 is a `hidden beast` number, since 1 + 1 + 27 + 3 + 556 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57226078 + ... + 57226274.

It is an arithmetic number, because the mean of its divisors is an integer number (73023984).

Almost surely, 2^11273556672 is an apocalyptic number.

11273556672 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 11273556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446715520).

11273556672 is an abundant number, since it is smaller than the sum of its proper divisors (29619874368).

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

11273556672 is a wasteful number, since it uses less digits than its factorization.

11273556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 11273556672 in words is "eleven billion, two hundred seventy-three million, five hundred fifty-six thousand, six hundred seventy-two".