128917850400 has 360 divisors, whose sum is σ = 470962356480. Its totient is φ = 34317872640.

The previous prime is 128917850387. The next prime is 128917850417. The reversal of 128917850400 is 4058719821.

128917850400 is a `hidden beast` number, since 1 + 28 + 9 + 178 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46589817 + ... + 46592583.

It is an arithmetic number, because the mean of its divisors is an integer number (1308228768).

Almost surely, 2^128917850400 is an apocalyptic number.

128917850400 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 128917850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235481178240).

128917850400 is an abundant number, since it is smaller than the sum of its proper divisors (342044506080).

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

128917850400 is a wasteful number, since it uses less digits than its factorization.

128917850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 128917850400 in words is "one hundred twenty-eight billion, nine hundred seventeen million, eight hundred fifty thousand, four hundred".