10225758173220 has 72 divisors (see below), whose sum is σ = 32842729201464. Its totient is φ = 2566464795648.

The previous prime is 10225758173219. The next prime is 10225758173291. The reversal of 10225758173220 is 2237185752201.

It is a happy number.

10225758173220 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 575 + 8 + 1 + 73 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1269732326976 + 8956025846244 = 1126824^2 + 2992662^2 .

It is a super-2 number, since 2×10225758173220² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670872459 + ... + 1670878578.

It is an arithmetic number, because the mean of its divisors is an integer number (456149016687).

Almost surely, 2^{10225758173220} is an apocalyptic number.

10225758173220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225758173220 is an abundant number, since it is smaller than the sum of its proper divisors (22616971028244).

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

10225758173220 is a wasteful number, since it uses less digits than its factorization.

10225758173220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341751069 (or 3341751064 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10225758173220 in words is "ten trillion, two hundred twenty-five billion, seven hundred fifty-eight million, one hundred seventy-three thousand, two hundred twenty".