10881210546756 has 120 divisors (see below), whose sum is σ = 31424406330240. Its totient is φ = 3255598008000.

The previous prime is 10881210546737. The next prime is 10881210546827. The reversal of 10881210546756 is 65764501218801.

10881210546756 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 1 + 21 + 0 + 546 + 75 + 6 = 666.

10881210546756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19041795 + ... + 19604906.

It is an arithmetic number, because the mean of its divisors is an integer number (261870052752).

Almost surely, 2^{10881210546756} is an apocalyptic number.

It is an amenable number.

10881210546756 is an abundant number, since it is smaller than the sum of its proper divisors (20543195783484).

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

10881210546756 is a wasteful number, since it uses less digits than its factorization.

10881210546756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38646807 (or 38646796 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10881210546756 in words is "ten trillion, eight hundred eighty-one billion, two hundred ten million, five hundred forty-six thousand, seven hundred fifty-six".