10905485472 has 216 divisors, whose sum is σ = 36188661600. Its totient is φ = 3106107648.

The previous prime is 10905485471. The next prime is 10905485509. The reversal of 10905485472 is 27458450901.

10905485472 is a `hidden beast` number, since 10 + 90 + 5 + 4 + 8 + 547 + 2 = 666.

It is a super-2 number, since 2×10905485472² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10905485471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5347429 + ... + 5349467.

It is an arithmetic number, because the mean of its divisors is an integer number (167540100).

Almost surely, 2^10905485472 is an apocalyptic number.

10905485472 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 10905485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094330800).

10905485472 is an abundant number, since it is smaller than the sum of its proper divisors (25283176128).

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

10905485472 is a wasteful number, since it uses less digits than its factorization.

10905485472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10905485472 in words is "ten billion, nine hundred five million, four hundred eighty-five thousand, four hundred seventy-two".