104826608640 has 264 divisors, whose sum is σ = 391163817408. Its totient is φ = 25803325440.

The previous prime is 104826608629. The next prime is 104826608659. The reversal of 104826608640 is 46806628401.

104826608640 is a `hidden beast` number, since 10 + 4 + 8 + 26 + 608 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511545 + ... + 686535.

Almost surely, 2^104826608640 is an apocalyptic number.

104826608640 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 104826608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195581908704).

104826608640 is an abundant number, since it is smaller than the sum of its proper divisors (286337208768).

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

104826608640 is a wasteful number, since it uses less digits than its factorization.

104826608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175035 (or 175014 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 104826608640 in words is "one hundred four billion, eight hundred twenty-six million, six hundred eight thousand, six hundred forty".