10535882400 has 216 divisors, whose sum is σ = 37624466880. Its totient is φ = 2773854720.

The previous prime is 10535882393. The next prime is 10535882449. The reversal of 10535882400 is 428853501.

It is a happy number.

10535882400 is a `hidden beast` number, since 1 + 0 + 53 + 588 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×10535882400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559539 + ... + 578061.

Almost surely, 2^10535882400 is an apocalyptic number.

10535882400 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 10535882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812233440).

10535882400 is an abundant number, since it is smaller than the sum of its proper divisors (27088584480).

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

10535882400 is a wasteful number, since it uses less digits than its factorization.

10535882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10535882400 in words is "ten billion, five hundred thirty-five million, eight hundred eighty-two thousand, four hundred".