10007626455660 has 96 divisors (see below), whose sum is σ = 28933461043200. Its totient is φ = 2581881822720.

The previous prime is 10007626455647. The next prime is 10007626455713. The reversal of 10007626455660 is 6655462670001.

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, 5822376 + ... + 7342704.

It is an arithmetic number, because the mean of its divisors is an integer number (301390219200).

Almost surely, 2^{10007626455660} is an apocalyptic number.

10007626455660 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 10007626455660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466730521600).

10007626455660 is an abundant number, since it is smaller than the sum of its proper divisors (18925834587540).

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

10007626455660 is a wasteful number, since it uses less digits than its factorization.

10007626455660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523911 (or 1523909 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 10007626455660 in words is "ten trillion, seven billion, six hundred twenty-six million, four hundred fifty-five thousand, six hundred sixty".