82619788492800 has 2856 divisors, whose sum is σ = 351413674819704. Its totient is φ = 19079721123840.

The previous prime is 82619788492793. The next prime is 82619788492819. The reversal of 82619788492800 is 829488791628.

82619788492800 is a `hidden beast` number, since 8 + 2 + 61 + 9 + 78 + 8 + 492 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 53478447906816 + 29141340585984 = 7312896^2 + 5398272^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 263960985444 + ... + 263960985756.

Almost surely, 2^{82619788492800} is an apocalyptic number.

82619788492800 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 82619788492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175706837409852).

82619788492800 is an abundant number, since it is smaller than the sum of its proper divisors (268793886326904).

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

82619788492800 is an equidigital number, since it uses as much as digits as its factorization.

82619788492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 82619788492800 in words is "eighty-two trillion, six hundred nineteen billion, seven hundred eighty-eight million, four hundred ninety-two thousand, eight hundred".