10550302400 has 336 divisors, whose sum is σ = 30069861120. Its totient is φ = 3605606400.

The previous prime is 10550302361. The next prime is 10550302403. The reversal of 10550302400 is 420305501.

It is a super-2 number, since 2×10550302400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10550302403) 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, 27121406 + ... + 27121794.

Almost surely, 2^10550302400 is an apocalyptic number.

10550302400 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 10550302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034930560).

10550302400 is an abundant number, since it is smaller than the sum of its proper divisors (19519558720).

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

10550302400 is a wasteful number, since it uses less digits than its factorization.

10550302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10550302400 its reverse (420305501), we get a palindrome (10970607901).

The spelling of 10550302400 in words is "ten billion, five hundred fifty million, three hundred two thousand, four hundred".