10500503904 has 384 divisors, whose sum is σ = 35240002560. Its totient is φ = 3035957760.

The previous prime is 10500503903. The next prime is 10500503921. The reversal of 10500503904 is 40930500501.

It is a super-2 number, since 2×10500503904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500503903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26449434 + ... + 26449830.

It is an arithmetic number, because the mean of its divisors is an integer number (91770840).

Almost surely, 2^10500503904 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 10500503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620001280).

10500503904 is an abundant number, since it is smaller than the sum of its proper divisors (24739498656).

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

10500503904 is a wasteful number, since it uses less digits than its factorization.

10500503904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10500503904 in words is "ten billion, five hundred million, five hundred three thousand, nine hundred four".