83047628160000 has 2200 divisors, whose sum is σ = 357075122084736. Its totient is φ = 18826629120000.

The previous prime is 83047628159989. The next prime is 83047628160001. The reversal of 83047628160000 is 6182674038.

83047628160000 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 7 + 628 + 16 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83047628160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 47537279127 + ... + 47537280873.

Almost surely, 2^{83047628160000} is an apocalyptic number.

83047628160000 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 83047628160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178537561042368).

83047628160000 is an abundant number, since it is smaller than the sum of its proper divisors (274027493924736).

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

83047628160000 is a wasteful number, since it uses less digits than its factorization.

83047628160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 83047628160000 in words is "eighty-three trillion, forty-seven billion, six hundred twenty-eight million, one hundred sixty thousand".