82858280601600 has 2592 divisors, whose sum is σ = 362122697664000. Its totient is φ = 18097319116800.

The previous prime is 82858280601583. The next prime is 82858280601709. The reversal of 82858280601600 is 610608285828.

It is a happy number.

82858280601600 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 8 + 28 + 0 + 6 + 0 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83610777105 + ... + 83610778095.

Almost surely, 2^{82858280601600} is an apocalyptic number.

82858280601600 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 82858280601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181061348832000).

82858280601600 is an abundant number, since it is smaller than the sum of its proper divisors (279264417062400).

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

82858280601600 is a wasteful number, since it uses less digits than its factorization.

82858280601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 82858280601600 in words is "eighty-two trillion, eight hundred fifty-eight billion, two hundred eighty million, six hundred one thousand, six hundred".