107827891200 has 528 divisors, whose sum is σ = 401586355360. Its totient is φ = 28346941440.

The previous prime is 107827891187. The next prime is 107827891267. The reversal of 107827891200 is 2198728701.

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 47 ways as a sum of consecutive naturals, for example, 50456532 + ... + 50458668.

Almost surely, 2^107827891200 is an apocalyptic number.

107827891200 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 107827891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793177680).

107827891200 is an abundant number, since it is smaller than the sum of its proper divisors (293758464160).

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

107827891200 is a wasteful number, since it uses less digits than its factorization.

107827891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 107827891200 in words is "one hundred seven billion, eight hundred twenty-seven million, eight hundred ninety-one thousand, two hundred".