10581350400 has 216 divisors, whose sum is σ = 37897144740. Its totient is φ = 2821570560.

The previous prime is 10581350369. The next prime is 10581350489. The reversal of 10581350400 is 405318501.

10581350400 is a `hidden beast` number, since 10 + 581 + 35 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×10581350400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 449319 + ... + 472281.

Almost surely, 2^10581350400 is an apocalyptic number.

10581350400 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 10581350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948572370).

10581350400 is an abundant number, since it is smaller than the sum of its proper divisors (27315794340).

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

10581350400 is a wasteful number, since it uses less digits than its factorization.

10581350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23001 (or 22973 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10581350400 its reverse (405318501), we get a palindrome (10986668901).

The spelling of 10581350400 in words is "ten billion, five hundred eighty-one million, three hundred fifty thousand, four hundred".