83552798216160 has 1440 divisors, whose sum is σ = 375008878512576. Its totient is φ = 17059822387200.

The previous prime is 83552798216149. The next prime is 83552798216179. The reversal of 83552798216160 is 6161289725538.

83552798216160 is a `hidden beast` number, since 8 + 3 + 5 + 5 + 2 + 7 + 9 + 8 + 2 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1133328100 + ... + 1133401820.

Almost surely, 2^{83552798216160} is an apocalyptic number.

83552798216160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83552798216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187504439256288).

83552798216160 is an abundant number, since it is smaller than the sum of its proper divisors (291456080296416).

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

83552798216160 is a wasteful number, since it uses less digits than its factorization.

83552798216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73830 (or 73782 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 83552798216160 in words is "eighty-three trillion, five hundred fifty-two billion, seven hundred ninety-eight million, two hundred sixteen thousand, one hundred sixty".