10010522016 has 288 divisors, whose sum is σ = 31701196800. Its totient is φ = 2971261440.

The previous prime is 10010521987. The next prime is 10010522023. The reversal of 10010522016 is 61022501001.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10010522016.

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, 55924615 + ... + 55924793.

It is an arithmetic number, because the mean of its divisors is an integer number (110073600).

Almost surely, 2^10010522016 is an apocalyptic number.

10010522016 is a gapful number since it is divisible by the number (16) 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 10010522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400).

10010522016 is an abundant number, since it is smaller than the sum of its proper divisors (21690674784).

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

10010522016 is a wasteful number, since it uses less digits than its factorization.

10010522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10010522016 in words is "ten billion, ten million, five hundred twenty-two thousand, sixteen".