5351128358400 has 480 divisors, whose sum is σ = 21426825024000. Its totient is φ = 1297242316800.

The previous prime is 5351128358357. The next prime is 5351128358417. The reversal of 5351128358400 is 48538211535.

5351128358400 is a `hidden beast` number, since 5 + 3 + 5 + 112 + 83 + 58 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×5351128358400³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097801 + ... + 4505399.

It is an arithmetic number, because the mean of its divisors is an integer number (44639218800).

Almost surely, 2^{5351128358400} is an apocalyptic number.

5351128358400 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 5351128358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713412512000).

5351128358400 is an abundant number, since it is smaller than the sum of its proper divisors (16075696665600).

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

5351128358400 is a wasteful number, since it uses less digits than its factorization.

5351128358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407647 (or 1407620 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5351128358400 in words is "five trillion, three hundred fifty-one billion, one hundred twenty-eight million, three hundred fifty-eight thousand, four hundred".