10504997186944 has 512 divisors, whose sum is σ = 24714334310400. Its totient is φ = 4409126092800.

The previous prime is 10504997186939. The next prime is 10504997186993. The reversal of 10504997186944 is 44968179940501.

It is a super-2 number, since 2×10504997186944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10504997186944.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10288929154 + ... + 10288930174.

It is an arithmetic number, because the mean of its divisors is an integer number (48270184200).

Almost surely, 2^{10504997186944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10504997186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357167155200).

10504997186944 is an abundant number, since it is smaller than the sum of its proper divisors (14209337123456).

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

10504997186944 is a wasteful number, since it uses less digits than its factorization.

10504997186944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 10504997186944 in words is "ten trillion, five hundred four billion, nine hundred ninety-seven million, one hundred eighty-six thousand, nine hundred forty-four".