104785953552 has 540 divisors, whose sum is σ = 362796623280. Its totient is φ = 28142408448.

The previous prime is 104785953551. The next prime is 104785953583. The reversal of 104785953552 is 255359587401.

104785953552 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 59 + 535 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (104785953551) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 250085599 + ... + 250086017.

Almost surely, 2^104785953552 is an apocalyptic number.

104785953552 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 104785953552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398311640).

104785953552 is an abundant number, since it is smaller than the sum of its proper divisors (258010669728).

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

104785953552 is a wasteful number, since it uses less digits than its factorization.

104785953552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 104785953552 in words is "one hundred four billion, seven hundred eighty-five million, nine hundred fifty-three thousand, five hundred fifty-two".