10504604880 has 800 divisors, whose sum is σ = 46798076160. Its totient is φ = 2120048640.

The previous prime is 10504604833. The next prime is 10504604921. The reversal of 10504604880 is 8840640501.

10504604880 is a `hidden beast` number, since 10 + 504 + 60 + 4 + 8 + 80 = 666.

It is a super-2 number, since 2×10504604880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18461236 + ... + 18461804.

Almost surely, 2^10504604880 is an apocalyptic number.

10504604880 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 10504604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23399038080).

10504604880 is an abundant number, since it is smaller than the sum of its proper divisors (36293471280).

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

10504604880 is a wasteful number, since it uses less digits than its factorization.

10504604880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10504604880 in words is "ten billion, five hundred four million, six hundred four thousand, eight hundred eighty".