10172714166720 has 896 divisors, whose sum is σ = 41654153318400. Its totient is φ = 2288988979200.

The previous prime is 10172714166701. The next prime is 10172714166721. The reversal of 10172714166720 is 2766141727101.

10172714166720 is a `hidden beast` number, since 1 + 0 + 172 + 7 + 1 + 416 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×10172714166720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172714166721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3783083136 + ... + 3783085824.

It is an arithmetic number, because the mean of its divisors is an integer number (46489010400).

Almost surely, 2^{10172714166720} is an apocalyptic number.

10172714166720 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 10172714166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827076659200).

10172714166720 is an abundant number, since it is smaller than the sum of its proper divisors (31481439151680).

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

10172714166720 is a wasteful number, since it uses less digits than its factorization.

10172714166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 10172714166720 in words is "ten trillion, one hundred seventy-two billion, seven hundred fourteen million, one hundred sixty-six thousand, seven hundred twenty".