128613268319400 has 480 divisors, whose sum is σ = 457766260459200. Its totient is φ = 33447319372800.

The previous prime is 128613268319399. The next prime is 128613268319423. The reversal of 128613268319400 is 4913862316821.

It is a happy number.

128613268319400 is a `hidden beast` number, since 1 + 2 + 8 + 61 + 3 + 268 + 319 + 4 + 0 + 0 = 666.

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, 1766071389 + ... + 1766144211.

It is an arithmetic number, because the mean of its divisors is an integer number (953679709290).

Almost surely, 2^{128613268319400} is an apocalyptic number.

128613268319400 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 128613268319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228883130229600).

128613268319400 is an abundant number, since it is smaller than the sum of its proper divisors (329152992139800).

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

128613268319400 is a wasteful number, since it uses less digits than its factorization.

128613268319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75551 (or 75533 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 128613268319400 in words is "one hundred twenty-eight trillion, six hundred thirteen billion, two hundred sixty-eight million, three hundred nineteen thousand, four hundred".