10447542000 has 960 divisors, whose sum is σ = 44951122944. Its totient is φ = 2295475200.

The previous prime is 10447541983. The next prime is 10447542013. The reversal of 10447542000 is 24574401.

10447542000 is a `hidden beast` number, since 10 + 447 + 5 + 4 + 200 + 0 = 666.

It is a super-2 number, since 2×10447542000² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125873959 + ... + 125874041.

Almost surely, 2^10447542000 is an apocalyptic number.

10447542000 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 10447542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475561472).

10447542000 is an abundant number, since it is smaller than the sum of its proper divisors (34503580944).

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

10447542000 is an equidigital number, since it uses as much as digits as its factorization.

10447542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 10447542000 in words is "ten billion, four hundred forty-seven million, five hundred forty-two thousand".