10542642400 has 36 divisors (see below), whose sum is σ = 25737227712. Its totient is φ = 4217056640.

The previous prime is 10542642367. The next prime is 10542642403. The reversal of 10542642400 is 424624501.

10542642400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10542642400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542642403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6588352 + ... + 6589951.

It is an arithmetic number, because the mean of its divisors is an integer number (714922992).

Almost surely, 2^10542642400 is an apocalyptic number.

10542642400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542642400 is an abundant number, since it is smaller than the sum of its proper divisors (15194585312).

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

10542642400 is a wasteful number, since it uses less digits than its factorization.

10542642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178323 (or 13178310 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 10542642400 in words is "ten billion, five hundred forty-two million, six hundred forty-two thousand, four hundred".