10980047232 has 640 divisors, whose sum is σ = 42053376000. Its totient is φ = 2759961600.

The previous prime is 10980047231. The next prime is 10980047293. The reversal of 10980047232 is 23274008901.

10980047232 is a `hidden beast` number, since 109 + 80 + 0 + 472 + 3 + 2 = 666.

It is a super-2 number, since 2×10980047232² (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 not an unprimeable number, because it can be changed into a prime (10980047231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 354195057 + ... + 354195087.

It is an arithmetic number, because the mean of its divisors is an integer number (65708400).

Almost surely, 2^10980047232 is an apocalyptic number.

10980047232 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 10980047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026688000).

10980047232 is an abundant number, since it is smaller than the sum of its proper divisors (31073328768).

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

10980047232 is an frugal number, since it uses more digits than its factorization.

10980047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10980047232 in words is "ten billion, nine hundred eighty million, forty-seven thousand, two hundred thirty-two".