82020733747200 has 1020 divisors, whose sum is σ = 305946228090448. Its totient is φ = 21722038272000.

The previous prime is 82020733747193. The next prime is 82020733747223. The reversal of 82020733747200 is 274733702028.

82020733747200 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 0 + 73 + 374 + 7 + 200 = 666.

82020733747200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×82020733747200³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20039268354 + ... + 20039272446.

Almost surely, 2^{82020733747200} is an apocalyptic number.

82020733747200 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 82020733747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152973114045224).

82020733747200 is an abundant number, since it is smaller than the sum of its proper divisors (223925494343248).

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

82020733747200 is an equidigital number, since it uses as much as digits as its factorization.

82020733747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 82020733747200 in words is "eighty-two trillion, twenty billion, seven hundred thirty-three million, seven hundred forty-seven thousand, two hundred".