10061019288 has 128 divisors (see below), whose sum is σ = 29716632000. Its totient is φ = 3143024640.

The previous prime is 10061019281. The next prime is 10061019301. The reversal of 10061019288 is 88291016001.

10061019288 is a `hidden beast` number, since 1 + 0 + 0 + 610 + 19 + 28 + 8 = 666.

It is a super-2 number, since 2×10061019288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061019281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879268 + ... + 890636.

Almost surely, 2^10061019288 is an apocalyptic number.

10061019288 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 10061019288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858316000).

10061019288 is an abundant number, since it is smaller than the sum of its proper divisors (19655612712).

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

10061019288 is a wasteful number, since it uses less digits than its factorization.

10061019288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11632 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10061019288 in words is "ten billion, sixty-one million, nineteen thousand, two hundred eighty-eight".