10542208320 has 560 divisors, whose sum is σ = 43371820800. Its totient is φ = 2380824576.

The previous prime is 10542208319. The next prime is 10542208333. The reversal of 10542208320 is 2380224501.

10542208320 is a `hidden beast` number, since 1 + 0 + 542 + 20 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×10542208320² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17599381 + ... + 17599979.

It is an arithmetic number, because the mean of its divisors is an integer number (77449680).

Almost surely, 2^10542208320 is an apocalyptic number.

10542208320 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 10542208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685910400).

10542208320 is an abundant number, since it is smaller than the sum of its proper divisors (32829612480).

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

10542208320 is an equidigital number, since it uses as much as digits as its factorization.

10542208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10542208320 in words is "ten billion, five hundred forty-two million, two hundred eight thousand, three hundred twenty".