1359528763968 has 336 divisors, whose sum is σ = 4257831789120. Its totient is φ = 428924657664.

The previous prime is 1359528763937. The next prime is 1359528763973. The reversal of 1359528763968 is 8693678259531.

1359528763968 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 528 + 7 + 6 + 3 + 96 + 8 = 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 = 1359528763896 and 1359528763905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631456780 + ... + 631458932.

It is an arithmetic number, because the mean of its divisors is an integer number (12672118420).

Almost surely, 2^{1359528763968} is an apocalyptic number.

1359528763968 is a gapful number since it is divisible by the number (18) 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 1359528763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128915894560).

1359528763968 is an abundant number, since it is smaller than the sum of its proper divisors (2898303025152).

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

1359528763968 is a wasteful number, since it uses less digits than its factorization.

1359528763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4314 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 1359528763968 in words is "one trillion, three hundred fifty-nine billion, five hundred twenty-eight million, seven hundred sixty-three thousand, nine hundred sixty-eight".