83759947485390 has 192 divisors, whose sum is σ = 244005426205632. Its totient is φ = 19755767808000.

The previous prime is 83759947485367. The next prime is 83759947485437. The reversal of 83759947485390 is 9358474995738.

83759947485390 is a `hidden beast` number, since 8 + 3 + 7 + 5 + 9 + 9 + 4 + 74 + 8 + 539 + 0 = 666.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1230770604 + ... + 1230838656.

It is an arithmetic number, because the mean of its divisors is an integer number (1270861594821).

Almost surely, 2^{83759947485390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83759947485390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122002713102816).

83759947485390 is an abundant number, since it is smaller than the sum of its proper divisors (160245478720242).

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

83759947485390 is a wasteful number, since it uses less digits than its factorization.

83759947485390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101715 (or 101712 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 83759947485390 in words is "eighty-three trillion, seven hundred fifty-nine billion, nine hundred forty-seven million, four hundred eighty-five thousand, three hundred ninety".