10881396377280 has 2016 divisors, whose sum is σ = 48656655657792. Its totient is φ = 2291324682240.

The previous prime is 10881396377231. The next prime is 10881396377311. The reversal of 10881396377280 is 8277369318801.

10881396377280 is a `hidden beast` number, since 10 + 88 + 13 + 96 + 377 + 2 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2079377544 + ... + 2079382776.

It is an arithmetic number, because the mean of its divisors is an integer number (24135245862).

Almost surely, 2^{10881396377280} is an apocalyptic number.

10881396377280 is a gapful number since it is divisible by the number (10) 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 10881396377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328327828896).

10881396377280 is an abundant number, since it is smaller than the sum of its proper divisors (37775259280512).

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

10881396377280 is a wasteful number, since it uses less digits than its factorization.

10881396377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 10881396377280 in words is "ten trillion, eight hundred eighty-one billion, three hundred ninety-six million, three hundred seventy-seven thousand, two hundred eighty".