128617889400 has 2592 divisors, whose sum is σ = 652059158400. Its totient is φ = 21996748800.

The previous prime is 128617889369. The next prime is 128617889437. The reversal of 128617889400 is 4988716821.

128617889400 is a `hidden beast` number, since 12 + 8 + 617 + 8 + 8 + 9 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×128617889400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 6769362591 + ... + 6769362609.

Almost surely, 2^128617889400 is an apocalyptic number.

128617889400 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 128617889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326029579200).

128617889400 is an abundant number, since it is smaller than the sum of its proper divisors (523441269000).

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

128617889400 is a wasteful number, since it uses less digits than its factorization.

128617889400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 128617889400 in words is "one hundred twenty-eight billion, six hundred seventeen million, eight hundred eighty-nine thousand, four hundred".