103758368856480 has 1536 divisors, whose sum is σ = 415412482867200. Its totient is φ = 23977551052800.

The previous prime is 103758368856479. The next prime is 103758368856487. The reversal of 103758368856480 is 84658863857301.

103758368856480 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 5 + 8 + 3 + 68 + 85 + 6 + 480 = 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 = 103758368856399 and 103758368856408.

It is not an unprimeable number, because it can be changed into a prime (103758368856487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63383242222 + ... + 63383243858.

It is an arithmetic number, because the mean of its divisors is an integer number (270450835200).

Almost surely, 2^{103758368856480} is an apocalyptic number.

103758368856480 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 103758368856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207706241433600).

103758368856480 is an abundant number, since it is smaller than the sum of its proper divisors (311654114010720).

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

103758368856480 is a wasteful number, since it uses less digits than its factorization.

103758368856480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 103758368856480 in words is "one hundred three trillion, seven hundred fifty-eight billion, three hundred sixty-eight million, eight hundred fifty-six thousand, four hundred eighty".