107552729600000 has 312 divisors, whose sum is σ = 270640834518600. Its totient is φ = 42731601920000.

The previous prime is 107552729599907. The next prime is 107552729600159. The reversal of 107552729600000 is 6927255701.

It can be written as a sum of positive squares in 12 ways, for example, as 100720653697024 + 6832075902976 = 10035968^2 + 2613824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1907171804 + ... + 1907228196.

It is an arithmetic number, because the mean of its divisors is an integer number (867438572175).

Almost surely, 2^{107552729600000} is an apocalyptic number.

107552729600000 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 107552729600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135320417259300).

107552729600000 is an abundant number, since it is smaller than the sum of its proper divisors (163088104918600).

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

107552729600000 is an frugal number, since it uses more digits than its factorization.

107552729600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56591 (or 56549 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 107552729600000 in words is "one hundred seven trillion, five hundred fifty-two billion, seven hundred twenty-nine million, six hundred thousand".