82990273766400 has 8448 divisors, whose sum is σ = 442123702272000. Its totient is φ = 14686263705600.

The previous prime is 82990273766383. The next prime is 82990273766417. The reversal of 82990273766400 is 466737209928.

82990273766400 is a `hidden beast` number, since 8 + 2 + 9 + 90 + 2 + 73 + 76 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (82990273766383) and next prime (82990273766417).

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 775610035147 + ... + 775610035253.

Almost surely, 2^{82990273766400} is an apocalyptic number.

82990273766400 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 82990273766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221061851136000).

82990273766400 is an abundant number, since it is smaller than the sum of its proper divisors (359133428505600).

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

82990273766400 is a wasteful number, since it uses less digits than its factorization.

82990273766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 82990273766400 in words is "eighty-two trillion, nine hundred ninety billion, two hundred seventy-three million, seven hundred sixty-six thousand, four hundred".