10542664512 has 420 divisors, whose sum is σ = 34420113024. Its totient is φ = 3186708480.

The previous prime is 10542664507. The next prime is 10542664549. The reversal of 10542664512 is 21546624501.

10542664512 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 6 + 645 + 1 + 2 = 666.

It is a super-2 number, since 2×10542664512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 46443343 + ... + 46443569.

Almost surely, 2^10542664512 is an apocalyptic number.

10542664512 is a gapful number since it is divisible by the number (12) 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 10542664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210056512).

10542664512 is an abundant number, since it is smaller than the sum of its proper divisors (23877448512).

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

10542664512 is a wasteful number, since it uses less digits than its factorization.

10542664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10542664512 in words is "ten billion, five hundred forty-two million, six hundred sixty-four thousand, five hundred twelve".