104286776832 has 1200 divisors, whose sum is σ = 396808687440. Its totient is φ = 27088846848.

The previous prime is 104286776831. The next prime is 104286776911. The reversal of 104286776832 is 238677682401.

104286776832 is a `hidden beast` number, since 10 + 428 + 67 + 76 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104286776831) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1428585948 + ... + 1428586020.

Almost surely, 2^104286776832 is an apocalyptic number.

104286776832 is a gapful number since it is divisible by the number (12) 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 104286776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198404343720).

104286776832 is an abundant number, since it is smaller than the sum of its proper divisors (292521910608).

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

104286776832 is an equidigital number, since it uses as much as digits as its factorization.

104286776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 104286776832 in words is "one hundred four billion, two hundred eighty-six million, seven hundred seventy-six thousand, eight hundred thirty-two".