83363128992000 has 3456 divisors, whose sum is σ = 371751701368320. Its totient is φ = 18333941760000.

The previous prime is 83363128991999. The next prime is 83363128992001. The reversal of 83363128992000 is 29982136338.

It is a happy number.

83363128992000 is a `hidden beast` number, since 8 + 3 + 36 + 312 + 8 + 99 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83363128991999) and next prime (83363128992001).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×83363128992000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83363128992001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67830047386 + ... + 67830048614.

It is an arithmetic number, because the mean of its divisors is an integer number (107567043220).

Almost surely, 2^{83363128992000} is an apocalyptic number.

83363128992000 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 83363128992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185875850684160).

83363128992000 is an abundant number, since it is smaller than the sum of its proper divisors (288388572376320).

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

83363128992000 is a wasteful number, since it uses less digits than its factorization.

83363128992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 83363128992000 in words is "eighty-three trillion, three hundred sixty-three billion, one hundred twenty-eight million, nine hundred ninety-two thousand".