78535743342200 has 192 divisors, whose sum is σ = 187861261824000. Its totient is φ = 30518678361600.

The previous prime is 78535743342167. The next prime is 78535743342211. The reversal of 78535743342200 is 224334753587.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462490951 + ... + 1462544649.

It is an arithmetic number, because the mean of its divisors is an integer number (978444072000).

Almost surely, 2^{78535743342200} 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 78535743342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93930630912000).

78535743342200 is an abundant number, since it is smaller than the sum of its proper divisors (109325518481800).

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

78535743342200 is a wasteful number, since it uses less digits than its factorization.

78535743342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54910 (or 54901 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 53.

The spelling of 78535743342200 in words is "seventy-eight trillion, five hundred thirty-five billion, seven hundred forty-three million, three hundred forty-two thousand, two hundred".