10061606016 has 384 divisors, whose sum is σ = 37272268800. Its totient is φ = 2528409600.

The previous prime is 10061605973. The next prime is 10061606029. The reversal of 10061606016 is 61060616001.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2747995 + ... + 2751653.

It is an arithmetic number, because the mean of its divisors is an integer number (97063200).

Almost surely, 2^10061606016 is an apocalyptic number.

10061606016 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 10061606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636134400).

10061606016 is an abundant number, since it is smaller than the sum of its proper divisors (27210662784).

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

10061606016 is a wasteful number, since it uses less digits than its factorization.

10061606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10061606016 in words is "ten billion, sixty-one million, six hundred six thousand, sixteen".