82873429689600 has 6480 divisors, whose sum is σ = 387655558456320. Its totient is φ = 17342595072000.

The previous prime is 82873429689587. The next prime is 82873429689727. The reversal of 82873429689600 is 698692437828.

82873429689600 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 3 + 4 + 2 + 9 + 6 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 719 ways as a sum of consecutive naturals, for example, 760306694346 + ... + 760306694454.

Almost surely, 2^{82873429689600} is an apocalyptic number.

82873429689600 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 82873429689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193827779228160).

82873429689600 is an abundant number, since it is smaller than the sum of its proper divisors (304782128766720).

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

82873429689600 is a wasteful number, since it uses less digits than its factorization.

82873429689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 82873429689600 in words is "eighty-two trillion, eight hundred seventy-three billion, four hundred twenty-nine million, six hundred eighty-nine thousand, six hundred".