10152042912 has 288 divisors, whose sum is σ = 33342865920. Its totient is φ = 2897717760.

The previous prime is 10152042907. The next prime is 10152042937. The reversal of 10152042912 is 21924025101.

10152042912 is a `hidden beast` number, since 10 + 1 + 520 + 42 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13663213 + ... + 13663955.

It is an arithmetic number, because the mean of its divisors is an integer number (115773840).

Almost surely, 2^10152042912 is an apocalyptic number.

10152042912 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 10152042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671432960).

10152042912 is an abundant number, since it is smaller than the sum of its proper divisors (23190823008).

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

10152042912 is a wasteful number, since it uses less digits than its factorization.

10152042912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10152042912 in words is "ten billion, one hundred fifty-two million, forty-two thousand, nine hundred twelve".