104878882800 has 720 divisors, whose sum is σ = 407321772000. Its totient is φ = 24873246720.

The previous prime is 104878882783. The next prime is 104878882813. The reversal of 104878882800 is 8288878401.

104878882800 is a `hidden beast` number, since 1 + 0 + 487 + 8 + 8 + 82 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×104878882800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73392486 + ... + 73393914.

Almost surely, 2^104878882800 is an apocalyptic number.

104878882800 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 104878882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203660886000).

104878882800 is an abundant number, since it is smaller than the sum of its proper divisors (302442889200).

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

104878882800 is a wasteful number, since it uses less digits than its factorization.

104878882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 104878882800 in words is "one hundred four billion, eight hundred seventy-eight million, eight hundred eighty-two thousand, eight hundred".