10931019661744 has 80 divisors (see below), whose sum is σ = 26068820377600. Its totient is φ = 4323937593600.

The previous prime is 10931019661619. The next prime is 10931019661817. The reversal of 10931019661744 is 44716691013901.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 10931019661691 and 10931019661700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14779969 + ... + 15501919.

It is an arithmetic number, because the mean of its divisors is an integer number (325860254720).

Almost surely, 2^{10931019661744} is an apocalyptic number.

10931019661744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10931019661744 is an abundant number, since it is smaller than the sum of its proper divisors (15137800715856).

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

10931019661744 is a wasteful number, since it uses less digits than its factorization.

10931019661744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732378 (or 732372 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 10931019661744 in words is "ten trillion, nine hundred thirty-one billion, nineteen million, six hundred sixty-one thousand, seven hundred forty-four".