107391957554880 has 504 divisors, whose sum is σ = 387526236709248. Its totient is φ = 28342565978112.

The previous prime is 107391957554789. The next prime is 107391957554899. The reversal of 107391957554880 is 88455759193701.

It is a happy number.

107391957554880 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 9 + 1 + 9 + 5 + 75 + 548 + 8 + 0 = 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 = 107391957554799 and 107391957554808.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203389777 + ... + 203917103.

It is an arithmetic number, because the mean of its divisors is an integer number (768901263312).

Almost surely, 2^{107391957554880} is an apocalyptic number.

107391957554880 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 107391957554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193763118354624).

107391957554880 is an abundant number, since it is smaller than the sum of its proper divisors (280134279154368).

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

107391957554880 is an frugal number, since it uses more digits than its factorization.

107391957554880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527465 (or 527434 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 107391957554880 in words is "one hundred seven trillion, three hundred ninety-one billion, nine hundred fifty-seven million, five hundred fifty-four thousand, eight hundred eighty".