83904289666752 has 112 divisors (see below), whose sum is σ = 222738802070400. Its totient is φ = 27874627264512.

The previous prime is 83904289666721. The next prime is 83904289666783. The reversal of 83904289666752 is 25766698240938.

It is an interprime number because it is at equal distance from previous prime (83904289666721) and next prime (83904289666783).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779008999 + ... + 779116697.

It is an arithmetic number, because the mean of its divisors is an integer number (1988739304200).

Almost surely, 2^{83904289666752} 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 83904289666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111369401035200).

83904289666752 is an abundant number, since it is smaller than the sum of its proper divisors (138834512403648).

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

83904289666752 is a wasteful number, since it uses less digits than its factorization.

83904289666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121238 (or 121228 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 75.

The spelling of 83904289666752 in words is "eighty-three trillion, nine hundred four billion, two hundred eighty-nine million, six hundred sixty-six thousand, seven hundred fifty-two".