10628609609040 has 80 divisors (see below), whose sum is σ = 33029249236800. Its totient is φ = 2827366050816.

The previous prime is 10628609609021. The next prime is 10628609609063. The reversal of 10628609609040 is 4090690682601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10628609609040² (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 15 ways as a sum of consecutive naturals, for example, 54041050 + ... + 54237369.

It is an arithmetic number, because the mean of its divisors is an integer number (412865615460).

Almost surely, 2^{10628609609040} is an apocalyptic number.

10628609609040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628609609040 is an abundant number, since it is smaller than the sum of its proper divisors (22400639627760).

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

10628609609040 is a wasteful number, since it uses less digits than its factorization.

10628609609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108278844 (or 108278838 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10628609609040 in words is "ten trillion, six hundred twenty-eight billion, six hundred nine million, six hundred nine thousand, forty".