107819060553120 has 1152 divisors, whose sum is σ = 421443764453376. Its totient is φ = 23048576753664.

The previous prime is 107819060553107. The next prime is 107819060553157. The reversal of 107819060553120 is 21355060918701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107819060553120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44061731737 + ... + 44061734183.

It is an arithmetic number, because the mean of its divisors is an integer number (365836601088).

Almost surely, 2^{107819060553120} is an apocalyptic number.

107819060553120 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 107819060553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210721882226688).

107819060553120 is an abundant number, since it is smaller than the sum of its proper divisors (313624703900256).

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

107819060553120 is a wasteful number, since it uses less digits than its factorization.

107819060553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 107819060553120 in words is "one hundred seven trillion, eight hundred nineteen billion, sixty million, five hundred fifty-three thousand, one hundred twenty".