10881247104 has 640 divisors, whose sum is σ = 42022041600. Its totient is φ = 2714259456.

The previous prime is 10881247081. The next prime is 10881247109. The reversal of 10881247104 is 40174218801.

10881247104 is a `hidden beast` number, since 108 + 81 + 2 + 471 + 0 + 4 = 666.

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 (10881247109) 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, 17925969 + ... + 17926575.

It is an arithmetic number, because the mean of its divisors is an integer number (65659440).

Almost surely, 2^10881247104 is an apocalyptic number.

10881247104 is a gapful number since it is divisible by the number (14) 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 10881247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011020800).

10881247104 is an abundant number, since it is smaller than the sum of its proper divisors (31140794496).

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

10881247104 is a wasteful number, since it uses less digits than its factorization.

10881247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10881247104 in words is "ten billion, eight hundred eighty-one million, two hundred forty-seven thousand, one hundred four".