10500422400 has 648 divisors, whose sum is σ = 41631415280. Its totient is φ = 2508226560.

The previous prime is 10500422389. The next prime is 10500422473. The reversal of 10500422400 is 422400501.

It is a super-2 number, since 2×10500422400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27705411 + ... + 27705789.

Almost surely, 2^10500422400 is an apocalyptic number.

10500422400 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 10500422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815707640).

10500422400 is an abundant number, since it is smaller than the sum of its proper divisors (31130992880).

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

10500422400 is a wasteful number, since it uses less digits than its factorization.

10500422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10500422400 its reverse (422400501), we get a palindrome (10922822901).

The spelling of 10500422400 in words is "ten billion, five hundred million, four hundred twenty-two thousand, four hundred".