128397057360 has 960 divisors, whose sum is σ = 513844611840. Its totient is φ = 26055475200.

The previous prime is 128397057337. The next prime is 128397057403. The reversal of 128397057360 is 63750793821.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 560685726 + ... + 560685954.

It is an arithmetic number, because the mean of its divisors is an integer number (535254804).

Almost surely, 2^128397057360 is an apocalyptic number.

128397057360 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 128397057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256922305920).

128397057360 is an abundant number, since it is smaller than the sum of its proper divisors (385447554480).

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

128397057360 is a wasteful number, since it uses less digits than its factorization.

128397057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 128397057360 in words is "one hundred twenty-eight billion, three hundred ninety-seven million, fifty-seven thousand, three hundred sixty".