107895545856 has 784 divisors, whose sum is σ = 386782970400. Its totient is φ = 29429858304.

The previous prime is 107895545843. The next prime is 107895545861. The reversal of 107895545856 is 658545598701.

107895545856 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 9 + 5 + 545 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 107895545793 and 107895545802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1212309460 + ... + 1212309548.

Almost surely, 2^107895545856 is an apocalyptic number.

107895545856 is a gapful number since it is divisible by the number (16) 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 107895545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193391485200).

107895545856 is an abundant number, since it is smaller than the sum of its proper divisors (278887424544).

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

107895545856 is an frugal number, since it uses more digits than its factorization.

107895545856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 107895545856 in words is "one hundred seven billion, eight hundred ninety-five million, five hundred forty-five thousand, eight hundred fifty-six".