10177691140656 has 160 divisors (see below), whose sum is σ = 31464937226240. Its totient is φ = 3131200800000.

The previous prime is 10177691140633. The next prime is 10177691140663. The reversal of 10177691140656 is 65604119677101.

10177691140656 is a `hidden beast` number, since 1 + 0 + 177 + 6 + 9 + 11 + 406 + 56 = 666.

It is a super-2 number, since 2×10177691140656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45890031 + ... + 46111281.

It is an arithmetic number, because the mean of its divisors is an integer number (196655857664).

Almost surely, 2^{10177691140656} is an apocalyptic number.

10177691140656 is a gapful number since it is divisible by the number (16) 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 10177691140656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732468613120).

10177691140656 is an abundant number, since it is smaller than the sum of its proper divisors (21287246085584).

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

10177691140656 is a wasteful number, since it uses less digits than its factorization.

10177691140656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229472 (or 229460 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10177691140656 in words is "ten trillion, one hundred seventy-seven billion, six hundred ninety-one million, one hundred forty thousand, six hundred fifty-six".