10061618688 has 320 divisors, whose sum is σ = 32809328640. Its totient is φ = 3019161600.

The previous prime is 10061618683. The next prime is 10061618711. The reversal of 10061618688 is 88681616001.

10061618688 is a `hidden beast` number, since 10 + 0 + 616 + 18 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061618681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19311868 + ... + 19312388.

It is an arithmetic number, because the mean of its divisors is an integer number (102529152).

Almost surely, 2^10061618688 is an apocalyptic number.

10061618688 is a gapful number since it is divisible by the number (18) 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 10061618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404664320).

10061618688 is an abundant number, since it is smaller than the sum of its proper divisors (22747709952).

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

10061618688 is a wasteful number, since it uses less digits than its factorization.

10061618688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10061618688 in words is "ten billion, sixty-one million, six hundred eighteen thousand, six hundred eighty-eight".