6626085120000 has 1200 divisors, whose sum is σ = 24927806423520. Its totient is φ = 1760237568000.

The previous prime is 6626085119921. The next prime is 6626085120007. The reversal of 6626085120000 is 215806266.

6626085120000 is a `hidden beast` number, since 6 + 626 + 0 + 8 + 5 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6626085120007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 25194239869 + ... + 25194240131.

Almost surely, 2^{6626085120000} is an apocalyptic number.

6626085120000 is a gapful number since it is divisible by the number (60) 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 6626085120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463903211760).

6626085120000 is an abundant number, since it is smaller than the sum of its proper divisors (18301721303520).

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

6626085120000 is an frugal number, since it uses more digits than its factorization.

6626085120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 6626085120000 in words is "six trillion, six hundred twenty-six billion, eighty-five million, one hundred twenty thousand".