10016240864 has 96 divisors (see below), whose sum is σ = 24066201600. Its totient is φ = 4010872320.

The previous prime is 10016240779. The next prime is 10016240891. The reversal of 10016240864 is 46804261001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10016240864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176507 + ... + 226245.

It is an arithmetic number, because the mean of its divisors is an integer number (250689600).

Almost surely, 2^10016240864 is an apocalyptic number.

10016240864 is a gapful number since it is divisible by the number (14) 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 10016240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033100800).

10016240864 is an abundant number, since it is smaller than the sum of its proper divisors (14049960736).

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

10016240864 is a wasteful number, since it uses less digits than its factorization.

10016240864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49816 (or 49808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 10016240864 in words is "ten billion, sixteen million, two hundred forty thousand, eight hundred sixty-four".