10542110400 has 252 divisors, whose sum is σ = 37715893072. Its totient is φ = 2792724480.

The previous prime is 10542110393. The next prime is 10542110413. The reversal of 10542110400 is 401124501.

10542110400 is a `hidden beast` number, since 1 + 0 + 54 + 211 + 0 + 400 = 666.

10542110400 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 2×10542110400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2258469 + ... + 2263131.

Almost surely, 2^10542110400 is an apocalyptic number.

10542110400 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 10542110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857946536).

10542110400 is an abundant number, since it is smaller than the sum of its proper divisors (27173782672).

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

10542110400 is a wasteful number, since it uses less digits than its factorization.

10542110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10542110400 its reverse (401124501), we get a palindrome (10943234901).

The spelling of 10542110400 in words is "ten billion, five hundred forty-two million, one hundred ten thousand, four hundred".