128056033266624 has 1344 divisors, whose sum is σ = 418810058634240. Its totient is φ = 38669607567360.

The previous prime is 128056033266599. The next prime is 128056033266677. The reversal of 128056033266624 is 426662330650821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125422167234 + ... + 125422168254.

It is an arithmetic number, because the mean of its divisors is an integer number (311614626960).

Almost surely, 2^{128056033266624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128056033266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209405029317120).

128056033266624 is an abundant number, since it is smaller than the sum of its proper divisors (290754025367616).

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

128056033266624 is a wasteful number, since it uses less digits than its factorization.

128056033266624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 128056033266624 in words is "one hundred twenty-eight trillion, fifty-six billion, thirty-three million, two hundred sixty-six thousand, six hundred twenty-four".