1153361267568 has 160 divisors (see below), whose sum is σ = 3451702886400. Its totient is φ = 368273412864.

The previous prime is 1153361267557. The next prime is 1153361267573. The reversal of 1153361267568 is 8657621633511.

1153361267568 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 6 + 12 + 67 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228605 + ... + 1953507.

It is an arithmetic number, because the mean of its divisors is an integer number (21573143040).

Almost surely, 2^{1153361267568} is an apocalyptic number.

1153361267568 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 1153361267568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725851443200).

1153361267568 is an abundant number, since it is smaller than the sum of its proper divisors (2298341618832).

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

1153361267568 is a wasteful number, since it uses less digits than its factorization.

1153361267568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725076 (or 725064 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1153361267568 in words is "one trillion, one hundred fifty-three billion, three hundred sixty-one million, two hundred sixty-seven thousand, five hundred sixty-eight".