10056172001688 has 24 divisors (see below), whose sum is σ = 27235465838100. Its totient is φ = 3352057333872.

The previous prime is 10056172001677. The next prime is 10056172001731. The reversal of 10056172001688 is 88610027165001.

10056172001688 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 617 + 20 + 0 + 1 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10056172001688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69834527718 + ... + 69834527861.

Almost surely, 2^{10056172001688} is an apocalyptic number.

10056172001688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10056172001688 is an abundant number, since it is smaller than the sum of its proper divisors (17179293836412).

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

10056172001688 is a wasteful number, since it uses less digits than its factorization.

10056172001688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139669055591 (or 139669055584 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

Adding to 10056172001688 its reverse (88610027165001), we get a palindrome (98666199166689).

The spelling of 10056172001688 in words is "ten trillion, fifty-six billion, one hundred seventy-two million, one thousand, six hundred eighty-eight".