10881825768 has 192 divisors, whose sum is σ = 35097753600. Its totient is φ = 3123852480.

The previous prime is 10881825761. The next prime is 10881825791. The reversal of 10881825768 is 86752818801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10881825761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392905 + ... + 419687.

It is an arithmetic number, because the mean of its divisors is an integer number (182800800).

Almost surely, 2^10881825768 is an apocalyptic number.

10881825768 is a gapful number since it is divisible by the number (18) 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 10881825768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

10881825768 is an abundant number, since it is smaller than the sum of its proper divisors (24215927832).

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

10881825768 is a wasteful number, since it uses less digits than its factorization.

10881825768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26834 (or 26818 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 10881825768 in words is "ten billion, eight hundred eighty-one million, eight hundred twenty-five thousand, seven hundred sixty-eight".