128415006720 has 2048 divisors, whose sum is σ = 634169088000. Its totient is φ = 23781703680.

The previous prime is 128415006679. The next prime is 128415006739. The reversal of 128415006720 is 27600514821.

128415006720 is a `hidden beast` number, since 1 + 2 + 84 + 1 + 500 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4428103666 + ... + 4428103694.

It is an arithmetic number, because the mean of its divisors is an integer number (309652875).

Almost surely, 2^128415006720 is an apocalyptic number.

128415006720 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 128415006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317084544000).

128415006720 is an abundant number, since it is smaller than the sum of its proper divisors (505754081280).

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

128415006720 is a wasteful number, since it uses less digits than its factorization.

128415006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 128415006720 in words is "one hundred twenty-eight billion, four hundred fifteen million, six thousand, seven hundred twenty".