10491060672 has 504 divisors, whose sum is σ = 35033955840. Its totient is φ = 2989301760.

The previous prime is 10491060649. The next prime is 10491060683. The reversal of 10491060672 is 27606019401.

10491060672 is a `hidden beast` number, since 1 + 0 + 49 + 1 + 0 + 606 + 7 + 2 = 666.

It is a super-2 number, since 2×10491060672² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98047243 + ... + 98047349.

Almost surely, 2^10491060672 is an apocalyptic number.

10491060672 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 10491060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516977920).

10491060672 is an abundant number, since it is smaller than the sum of its proper divisors (24542895168).

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

10491060672 is a wasteful number, since it uses less digits than its factorization.

10491060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10491060672 in words is "ten billion, four hundred ninety-one million, sixty thousand, six hundred seventy-two".