128261790720 has 1056 divisors, whose sum is σ = 533657419776. Its totient is φ = 27869184000.

The previous prime is 128261790707. The next prime is 128261790733. The reversal of 128261790720 is 27097162821.

It is a happy number.

128261790720 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 617 + 9 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (128261790707) and next prime (128261790733).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009935297 + ... + 1009935423.

Almost surely, 2^128261790720 is an apocalyptic number.

128261790720 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 128261790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266828709888).

128261790720 is an abundant number, since it is smaller than the sum of its proper divisors (405395629056).

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

128261790720 is a wasteful number, since it uses less digits than its factorization.

128261790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 128261790720 in words is "one hundred twenty-eight billion, two hundred sixty-one million, seven hundred ninety thousand, seven hundred twenty".