1153757659968 has 280 divisors, whose sum is σ = 3481358690304. Its totient is φ = 377758080000.

The previous prime is 1153757659949. The next prime is 1153757659997. The reversal of 1153757659968 is 8699567573511.

1153757659968 is a `hidden beast` number, since 1 + 15 + 37 + 576 + 5 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×1153757659968² (a number of 25 digits) contains 22 as substring.

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 = 1153757659896 and 1153757659905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66486493 + ... + 66503843.

Almost surely, 2^{1153757659968} is an apocalyptic number.

1153757659968 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 1153757659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740679345152).

1153757659968 is an abundant number, since it is smaller than the sum of its proper divisors (2327601030336).

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

1153757659968 is a wasteful number, since it uses less digits than its factorization.

1153757659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17584 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 72.

The spelling of 1153757659968 in words is "one trillion, one hundred fifty-three billion, seven hundred fifty-seven million, six hundred fifty-nine thousand, nine hundred sixty-eight".