10646622275040 has 192 divisors, whose sum is σ = 37264679424000. Its totient is φ = 2838984878592.

The previous prime is 10646622274997. The next prime is 10646622275041. The reversal of 10646622275040 is 4057222664601.

10646622275040 is a `hidden beast` number, since 1 + 0 + 64 + 6 + 62 + 2 + 27 + 504 + 0 = 666.

It is a super-2 number, since 2×10646622275040² (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 (10646622275041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210786429 + ... + 210836931.

It is an arithmetic number, because the mean of its divisors is an integer number (194086872000).

Almost surely, 2^{10646622275040} is an apocalyptic number.

10646622275040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10646622275040 is an abundant number, since it is smaller than the sum of its proper divisors (26618057148960).

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

10646622275040 is a wasteful number, since it uses less digits than its factorization.

10646622275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99326 (or 99312 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 10646622275040 in words is "ten trillion, six hundred forty-six billion, six hundred twenty-two million, two hundred seventy-five thousand, forty".