1159435363968 has 768 divisors, whose sum is σ = 4145241484800. Its totient is φ = 303767912448.

The previous prime is 1159435363951. The next prime is 1159435363981. The reversal of 1159435363968 is 8693635349511.

1159435363968 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 4 + 3 + 536 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844453330 + ... + 844454702.

It is an arithmetic number, because the mean of its divisors is an integer number (5397449850).

Almost surely, 2^{1159435363968} is an apocalyptic number.

1159435363968 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 1159435363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072620742400).

1159435363968 is an abundant number, since it is smaller than the sum of its proper divisors (2985806120832).

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

1159435363968 is a wasteful number, since it uses less digits than its factorization.

1159435363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1594 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 1159435363968 in words is "one trillion, one hundred fifty-nine billion, four hundred thirty-five million, three hundred sixty-three thousand, nine hundred sixty-eight".