10403500800 has 864 divisors, whose sum is σ = 44381159424. Its totient is φ = 2082816000.

The previous prime is 10403500771. The next prime is 10403500841. The reversal of 10403500800 is 800530401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45830287 + ... + 45830513.

Almost surely, 2^10403500800 is an apocalyptic number.

10403500800 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 10403500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190579712).

10403500800 is an abundant number, since it is smaller than the sum of its proper divisors (33977658624).

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

10403500800 is a wasteful number, since it uses less digits than its factorization.

10403500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 10403500800 in words is "ten billion, four hundred three million, five hundred thousand, eight hundred".