10782137984641 has 8 divisors (see below), whose sum is σ = 10870364685600. Its totient is φ = 10694063532000.

The previous prime is 10782137984533. The next prime is 10782137984707. The reversal of 10782137984641 is 14648973128701.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10782137984641 - 2⁹ = 10782137984129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10782137984641.

It is not an unprimeable number, because it can be changed into a prime (10782137987641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37919860 + ... + 38203141.

It is an arithmetic number, because the mean of its divisors is an integer number (1358795585700).

Almost surely, 2^{10782137984641} is an apocalyptic number.

It is an amenable number.

10782137984641 is a deficient number, since it is larger than the sum of its proper divisors (88226700959).

10782137984641 is a wasteful number, since it uses less digits than its factorization.

10782137984641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76124159.

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 10782137984641 in words is "ten trillion, seven hundred eighty-two billion, one hundred thirty-seven million, nine hundred eighty-four thousand, six hundred forty-one".