10001566848 has 256 divisors, whose sum is σ = 33120460800. Its totient is φ = 2603667456.

The previous prime is 10001566831. The next prime is 10001566853. The reversal of 10001566848 is 84866510001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2758765 + ... + 2762387.

It is an arithmetic number, because the mean of its divisors is an integer number (129376800).

Almost surely, 2^10001566848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560230400).

10001566848 is an abundant number, since it is smaller than the sum of its proper divisors (23118893952).

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

10001566848 is a wasteful number, since it uses less digits than its factorization.

10001566848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10001566848 in words is "ten billion, one million, five hundred sixty-six thousand, eight hundred forty-eight".