104207570288640 has 4800 divisors, whose sum is σ = 501324153200640. Its totient is φ = 20088744837120.

The previous prime is 104207570288629. The next prime is 104207570288641. The reversal of 104207570288640 is 46882075702401.

104207570288640 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 7 + 570 + 2 + 8 + 8 + 64 + 0 = 666.

104207570288640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (104207570288641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 355657236334 + ... + 355657236626.

Almost surely, 2^{104207570288640} is an apocalyptic number.

104207570288640 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 104207570288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250662076600320).

104207570288640 is an abundant number, since it is smaller than the sum of its proper divisors (397116582912000).

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

104207570288640 is a wasteful number, since it uses less digits than its factorization.

104207570288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 104207570288640 in words is "one hundred four trillion, two hundred seven billion, five hundred seventy million, two hundred eighty-eight thousand, six hundred forty".