107827473600 has 1008 divisors, whose sum is σ = 493381564416. Its totient is φ = 21676032000.

The previous prime is 107827473563. The next prime is 107827473601. The reversal of 107827473600 is 6374728701.

107827473600 is a `hidden beast` number, since 10 + 7 + 8 + 27 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (107827473601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34371232 + ... + 34374368.

Almost surely, 2^107827473600 is an apocalyptic number.

107827473600 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 107827473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246690782208).

107827473600 is an abundant number, since it is smaller than the sum of its proper divisors (385554090816).

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

107827473600 is a wasteful number, since it uses less digits than its factorization.

107827473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 107827473600 in words is "one hundred seven billion, eight hundred twenty-seven million, four hundred seventy-three thousand, six hundred".