75214138654200 has 192 divisors, whose sum is σ = 286970867688960. Its totient is φ = 15869356715520.

The previous prime is 75214138654183. The next prime is 75214138654231. The reversal of 75214138654200 is 245683141257.

It is a self number, because there is not a number n which added to its sum of digits gives 75214138654200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688719564 + ... + 688828763.

It is an arithmetic number, because the mean of its divisors is an integer number (1494639935880).

Almost surely, 2^{75214138654200} is an apocalyptic number.

75214138654200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75214138654200 is an abundant number, since it is smaller than the sum of its proper divisors (211756729034760).

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

75214138654200 is a wasteful number, since it uses less digits than its factorization.

75214138654200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377548366 (or 1377548357 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 75214138654200 in words is "seventy-five trillion, two hundred fourteen billion, one hundred thirty-eight million, six hundred fifty-four thousand, two hundred".