10626874869072 has 960 divisors, whose sum is σ = 37334190173184. Its totient is φ = 2566612500480.

The previous prime is 10626874869071. The next prime is 10626874869131. The reversal of 10626874869072 is 27096847862601.

It is a happy number.

It is a super-2 number, since 2×10626874869072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 10626874868994 and 10626874869012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626874869071) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16273927498 + ... + 16273928150.

Almost surely, 2^{10626874869072} is an apocalyptic number.

10626874869072 is a gapful number since it is divisible by the number (12) 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 10626874869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667095086592).

10626874869072 is an abundant number, since it is smaller than the sum of its proper divisors (26707315304112).

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

10626874869072 is a wasteful number, since it uses less digits than its factorization.

10626874869072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 10626874869072 in words is "ten trillion, six hundred twenty-six billion, eight hundred seventy-four million, eight hundred sixty-nine thousand, seventy-two".