75396494131200 has 1656 divisors, whose sum is σ = 306688814097120. Its totient is φ = 18209990246400.

The previous prime is 75396494131177. The next prime is 75396494131213. The reversal of 75396494131200 is 213149469357.

75396494131200 is a `hidden beast` number, since 7 + 5 + 396 + 4 + 9 + 41 + 3 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280284364666 + ... + 280284364934.

Almost surely, 2^{75396494131200} 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 75396494131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153344407048560).

75396494131200 is an abundant number, since it is smaller than the sum of its proper divisors (231292319965920).

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

75396494131200 is an frugal number, since it uses more digits than its factorization.

75396494131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 75396494131200 in words is "seventy-five trillion, three hundred ninety-six billion, four hundred ninety-four million, one hundred thirty-one thousand, two hundred".