107838761748480 has 3456 divisors, whose sum is σ = 470494302969600. Its totient is φ = 22362955186176.

The previous prime is 107838761748449. The next prime is 107838761748493. The reversal of 107838761748480 is 84847167838701.

107838761748480 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 3 + 8 + 7 + 61 + 7 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 107838761748399 and 107838761748408.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1111739811792 + ... + 1111739811888.

It is an arithmetic number, because the mean of its divisors is an integer number (136138397850).

Almost surely, 2^{107838761748480} is an apocalyptic number.

107838761748480 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 107838761748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235247151484800).

107838761748480 is an abundant number, since it is smaller than the sum of its proper divisors (362655541221120).

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

107838761748480 is a wasteful number, since it uses less digits than its factorization.

107838761748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 107838761748480 in words is "one hundred seven trillion, eight hundred thirty-eight billion, seven hundred sixty-one million, seven hundred forty-eight thousand, four hundred eighty".