128905699104 has 720 divisors, whose sum is σ = 473812016832. Its totient is φ = 33800592384.

The previous prime is 128905699093. The next prime is 128905699121. The reversal of 128905699104 is 401996509821.

It is a super-2 number, since 2×128905699104² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 745119562 + ... + 745119734.

Almost surely, 2^128905699104 is an apocalyptic number.

128905699104 is a gapful number since it is divisible by the number (14) 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 128905699104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236906008416).

128905699104 is an abundant number, since it is smaller than the sum of its proper divisors (344906317728).

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

128905699104 is an frugal number, since it uses more digits than its factorization.

128905699104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 128905699104 in words is "one hundred twenty-eight billion, nine hundred five million, six hundred ninety-nine thousand, one hundred four".