107563008000 has 960 divisors, whose sum is σ = 425943737856. Its totient is φ = 23592960000.

The previous prime is 107563007987. The next prime is 107563008023. The reversal of 107563008000 is 800365701.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1763327970 + ... + 1763328030.

Almost surely, 2^107563008000 is an apocalyptic number.

107563008000 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 107563008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212971868928).

107563008000 is an abundant number, since it is smaller than the sum of its proper divisors (318380729856).

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

107563008000 is an frugal number, since it uses more digits than its factorization.

107563008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 107563008000 in words is "one hundred seven billion, five hundred sixty-three million, eight thousand".