75840013141200 has 2880 divisors, whose sum is σ = 359094213642240. Its totient is φ = 14766022656000.

The previous prime is 75840013141187. The next prime is 75840013141237. The reversal of 75840013141200 is 214131004857.

75840013141200 is a `hidden beast` number, since 7 + 5 + 8 + 400 + 1 + 3 + 1 + 41 + 200 = 666.

It is a super-2 number, since 2×75840013141200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 67533403839 + ... + 67533404961.

It is an arithmetic number, because the mean of its divisors is an integer number (124685490848).

Almost surely, 2^{75840013141200} is an apocalyptic number.

75840013141200 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 75840013141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179547106821120).

75840013141200 is an abundant number, since it is smaller than the sum of its proper divisors (283254200501040).

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

75840013141200 is a wasteful number, since it uses less digits than its factorization.

75840013141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 75840013141200 in words is "seventy-five trillion, eight hundred forty billion, thirteen million, one hundred forty-one thousand, two hundred".