10504619840 has 336 divisors, whose sum is σ = 30391638480. Its totient is φ = 3433267200.

The previous prime is 10504619789. The next prime is 10504619843. The reversal of 10504619840 is 4891640501.

It can be written as a sum of positive squares in 8 ways, for example, as 1438533184 + 9066086656 = 37928^2 + 95216^2 .

It is a super-2 number, since 2×10504619840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10504619794 and 10504619803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10504619843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20637506 + ... + 20638014.

It is an arithmetic number, because the mean of its divisors is an integer number (90451305).

Almost surely, 2^10504619840 is an apocalyptic number.

10504619840 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 10504619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195819240).

10504619840 is an abundant number, since it is smaller than the sum of its proper divisors (19887018640).

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

10504619840 is a wasteful number, since it uses less digits than its factorization.

10504619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10504619840 in words is "ten billion, five hundred four million, six hundred nineteen thousand, eight hundred forty".