10017725760 has 448 divisors, whose sum is σ = 40960243200. Its totient is φ = 2257403904.

The previous prime is 10017725749. The next prime is 10017725761. The reversal of 10017725760 is 6752771001.

10017725760 is a `hidden beast` number, since 1 + 0 + 0 + 17 + 72 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (10017725761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4413906 + ... + 4416174.

Almost surely, 2^10017725760 is an apocalyptic number.

10017725760 is a gapful number since it is divisible by the number (10) 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 10017725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480121600).

10017725760 is an abundant number, since it is smaller than the sum of its proper divisors (30942517440).

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

10017725760 is a wasteful number, since it uses less digits than its factorization.

10017725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 10017725760 in words is "ten billion, seventeen million, seven hundred twenty-five thousand, seven hundred sixty".