10257166080 has 648 divisors, whose sum is σ = 42875410032. Its totient is φ = 2341011456.

The previous prime is 10257166079. The next prime is 10257166081. The reversal of 10257166080 is 8066175201.

10257166080 is a `hidden beast` number, since 1 + 0 + 2 + 571 + 6 + 6 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10257166079) and next prime (10257166081).

It is a tau number, because it is divible by the number of its divisors (648).

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 (10257166081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240624 + ... + 15241296.

Almost surely, 2^10257166080 is an apocalyptic number.

10257166080 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 10257166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21437705016).

10257166080 is an abundant number, since it is smaller than the sum of its proper divisors (32618243952).

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

10257166080 is an frugal number, since it uses more digits than its factorization.

10257166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10257166080 in words is "ten billion, two hundred fifty-seven million, one hundred sixty-six thousand, eighty".