83048371200 has 528 divisors, whose sum is σ = 310868228160. Its totient is φ = 21718794240.

The previous prime is 83048371177. The next prime is 83048371207. The reversal of 83048371200 is 217384038.

83048371200 is a `hidden beast` number, since 8 + 304 + 83 + 71 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83048371207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36632467 + ... + 36634733.

Almost surely, 2^83048371200 is an apocalyptic number.

83048371200 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 83048371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155434114080).

83048371200 is an abundant number, since it is smaller than the sum of its proper divisors (227819856960).

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

83048371200 is a wasteful number, since it uses less digits than its factorization.

83048371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 83048371200 in words is "eighty-three billion, forty-eight million, three hundred seventy-one thousand, two hundred".