10542405360 has 80 divisors (see below), whose sum is σ = 34401548160. Its totient is φ = 2663343360.

The previous prime is 10542405323. The next prime is 10542405397. The reversal of 10542405360 is 6350424501.

It is an interprime number because it is at equal distance from previous prime (10542405323) and next prime (10542405397).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10542405360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151406 + ... + 1160525.

It is an arithmetic number, because the mean of its divisors is an integer number (430019352).

Almost surely, 2^10542405360 is an apocalyptic number.

10542405360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542405360 is an abundant number, since it is smaller than the sum of its proper divisors (23859142800).

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

10542405360 is a wasteful number, since it uses less digits than its factorization.

10542405360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311966 (or 2311960 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10542405360 its reverse (6350424501), we get a palindrome (16892829861).

The spelling of 10542405360 in words is "ten billion, five hundred forty-two million, four hundred five thousand, three hundred sixty".