107894988000 has 288 divisors, whose sum is σ = 405446277600. Its totient is φ = 27079372800.

The previous prime is 107894987999. The next prime is 107894988013. The reversal of 107894988000 is 889498701.

107894988000 is a `hidden beast` number, since 1 + 0 + 78 + 9 + 498 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523851 + ... + 700149.

It is an arithmetic number, because the mean of its divisors is an integer number (1407799575).

Almost surely, 2^107894988000 is an apocalyptic number.

107894988000 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 107894988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202723138800).

107894988000 is an abundant number, since it is smaller than the sum of its proper divisors (297551289600).

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

107894988000 is a wasteful number, since it uses less digits than its factorization.

107894988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176347 (or 176326 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 107894988000 in words is "one hundred seven billion, eight hundred ninety-four million, nine hundred eighty-eight thousand".