75600381542400 has 6528 divisors, whose sum is σ = 373528442649600. Its totient is φ = 14676708556800.

The previous prime is 75600381542327. The next prime is 75600381542407. The reversal of 75600381542400 is 424518300657.

75600381542400 is a `hidden beast` number, since 7 + 5 + 60 + 0 + 3 + 8 + 1 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6528).

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

It is not an unprimeable number, because it can be changed into a prime (75600381542407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2043253555182 + ... + 2043253555218.

Almost surely, 2^{75600381542400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75600381542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186764221324800).

75600381542400 is an abundant number, since it is smaller than the sum of its proper divisors (297928061107200).

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

75600381542400 is a wasteful number, since it uses less digits than its factorization.

75600381542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 75600381542400 in words is "seventy-five trillion, six hundred billion, three hundred eighty-one million, five hundred forty-two thousand, four hundred".