5128302326400 has 2304 divisors, whose sum is σ = 21585898414080. Its totient is φ = 1191407616000.

The previous prime is 5128302326363. The next prime is 5128302326449. The reversal of 5128302326400 is 46232038215.

5128302326400 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 3 + 0 + 2 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26849750305 + ... + 26849750495.

It is an arithmetic number, because the mean of its divisors is an integer number (9368879520).

Almost surely, 2^{5128302326400} is an apocalyptic number.

5128302326400 is a gapful number since it is divisible by the number (50) 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 5128302326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792949207040).

5128302326400 is an abundant number, since it is smaller than the sum of its proper divisors (16457596087680).

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

5128302326400 is a wasteful number, since it uses less digits than its factorization.

5128302326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5128302326400 in words is "five trillion, one hundred twenty-eight billion, three hundred two million, three hundred twenty-six thousand, four hundred".