107503994880 has 384 divisors, whose sum is σ = 390320985600. Its totient is φ = 28054388736.

The previous prime is 107503994839. The next prime is 107503994971. The reversal of 107503994880 is 88499305701.

107503994880 is a `hidden beast` number, since 1 + 0 + 7 + 503 + 99 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12990424 + ... + 12998696.

It is an arithmetic number, because the mean of its divisors is an integer number (1016460900).

Almost surely, 2^107503994880 is an apocalyptic number.

107503994880 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 107503994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195160492800).

107503994880 is an abundant number, since it is smaller than the sum of its proper divisors (282816990720).

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

107503994880 is an equidigital number, since it uses as much as digits as its factorization.

107503994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 107503994880 in words is "one hundred seven billion, five hundred three million, nine hundred ninety-four thousand, eight hundred eighty".