10542182400 has 780 divisors, whose sum is σ = 41293648704. Its totient is φ = 2654208000.

The previous prime is 10542182347. The next prime is 10542182407. The reversal of 10542182400 is 428124501.

10542182400 is a `hidden beast` number, since 1 + 0 + 542 + 1 + 82 + 40 + 0 = 666.

It is a super-2 number, since 2×10542182400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542182407) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 257126380 + ... + 257126420.

Almost surely, 2^10542182400 is an apocalyptic number.

10542182400 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 10542182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646824352).

10542182400 is an abundant number, since it is smaller than the sum of its proper divisors (30751466304).

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

10542182400 is an equidigital number, since it uses as much as digits as its factorization.

10542182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10542182400 in words is "ten billion, five hundred forty-two million, one hundred eighty-two thousand, four hundred".