10055017728 has 288 divisors, whose sum is σ = 34472632320. Its totient is φ = 2831431680.

The previous prime is 10055017699. The next prime is 10055017787. The reversal of 10055017728 is 82771055001.

10055017728 is a `hidden beast` number, since 10 + 0 + 550 + 1 + 77 + 28 = 666.

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

It is a super-2 number, since 2×10055017728² (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 junction number, because it is equal to n+sod(n) for n = 10055017692 and 10055017701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433801 + ... + 3436727.

It is an arithmetic number, because the mean of its divisors is an integer number (119696640).

Almost surely, 2^10055017728 is an apocalyptic number.

10055017728 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 10055017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236316160).

10055017728 is an abundant number, since it is smaller than the sum of its proper divisors (24417614592).

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

10055017728 is an equidigital number, since it uses as much as digits as its factorization.

10055017728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 10055017728 in words is "ten billion, fifty-five million, seventeen thousand, seven hundred twenty-eight".