10535575400 has 48 divisors (see below), whose sum is σ = 27994532640. Its totient is φ = 3612196800.

The previous prime is 10535575399. The next prime is 10535575403. The reversal of 10535575400 is 457553501.

It is a super-2 number, since 2×10535575400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10535575403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3761306 + ... + 3764105.

It is an arithmetic number, because the mean of its divisors is an integer number (583219430).

Almost surely, 2^10535575400 is an apocalyptic number.

10535575400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535575400 is an abundant number, since it is smaller than the sum of its proper divisors (17458957240).

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

10535575400 is a wasteful number, since it uses less digits than its factorization.

10535575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525434 (or 7525425 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 35.

The spelling of 10535575400 in words is "ten billion, five hundred thirty-five million, five hundred seventy-five thousand, four hundred".