11475332085672 has 432 divisors, whose sum is σ = 39165943284000. Its totient is φ = 3025081043712.

The previous prime is 11475332085661. The next prime is 11475332085691. The reversal of 11475332085672 is 27658023357411.

11475332085672 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 53 + 3 + 20 + 8 + 567 + 2 = 666.

It is a super-3 number, since 3×11475332085672³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2539349829 + ... + 2539354347.

It is an arithmetic number, because the mean of its divisors is an integer number (90661905750).

Almost surely, 2^{11475332085672} is an apocalyptic number.

11475332085672 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 11475332085672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582971642000).

11475332085672 is an abundant number, since it is smaller than the sum of its proper divisors (27690611198328).

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

11475332085672 is a wasteful number, since it uses less digits than its factorization.

11475332085672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8803 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 11475332085672 in words is "eleven trillion, four hundred seventy-five billion, three hundred thirty-two million, eighty-five thousand, six hundred seventy-two".