5415128409600 has 2880 divisors, whose sum is σ = 25946166005760. Its totient is φ = 1046288793600.

The previous prime is 5415128409589. The next prime is 5415128409601. The reversal of 5415128409600 is 69048215145.

5415128409600 is a `hidden beast` number, since 5 + 4 + 1 + 512 + 8 + 40 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415128409601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6174604362 + ... + 6174605238.

Almost surely, 2^{5415128409600} is an apocalyptic number.

5415128409600 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 5415128409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973083002880).

5415128409600 is an abundant number, since it is smaller than the sum of its proper divisors (20531037596160).

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

5415128409600 is a wasteful number, since it uses less digits than its factorization.

5415128409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5415128409600 in words is "five trillion, four hundred fifteen billion, one hundred twenty-eight million, four hundred nine thousand, six hundred".