75013551325440 has 6912 divisors, whose sum is σ = 369795273523200. Its totient is φ = 14402236907520.

The previous prime is 75013551325429. The next prime is 75013551325457. The reversal of 75013551325440 is 4452315531057.

75013551325440 is a `hidden beast` number, since 7 + 5 + 0 + 1 + 3 + 551 + 3 + 2 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 767 ways as a sum of consecutive naturals, for example, 1271416124131 + ... + 1271416124189.

It is an arithmetic number, because the mean of its divisors is an integer number (53500473600).

Almost surely, 2^{75013551325440} is an apocalyptic number.

75013551325440 is a gapful number since it is divisible by the number (70) 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 75013551325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184897636761600).

75013551325440 is an abundant number, since it is smaller than the sum of its proper divisors (294781722197760).

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

75013551325440 is a wasteful number, since it uses less digits than its factorization.

75013551325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

Adding to 75013551325440 its reverse (4452315531057), we get a palindrome (79465866856497).

The spelling of 75013551325440 in words is "seventy-five trillion, thirteen billion, five hundred fifty-one million, three hundred twenty-five thousand, four hundred forty".