104288062800 has 480 divisors, whose sum is σ = 356530323456. Its totient is φ = 26002944000.

The previous prime is 104288062763. The next prime is 104288062807. The reversal of 104288062800 is 8260882401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104288062807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384826665 + ... + 384826935.

Almost surely, 2^104288062800 is an apocalyptic number.

104288062800 is a gapful number since it is divisible by the number (10) 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 104288062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178265161728).

104288062800 is an abundant number, since it is smaller than the sum of its proper divisors (252242260656).

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

104288062800 is a wasteful number, since it uses less digits than its factorization.

104288062800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 104288062800 in words is "one hundred four billion, two hundred eighty-eight million, sixty-two thousand, eight hundred".