1153261445760 has 512 divisors, whose sum is σ = 4175945280000. Its totient is φ = 300689326080.

The previous prime is 1153261445759. The next prime is 1153261445773. The reversal of 1153261445760 is 675441623511.

It is a happy number.

1153261445760 is a `hidden beast` number, since 1 + 1 + 5 + 32 + 6 + 1 + 44 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284824216 + ... + 284828264.

It is an arithmetic number, because the mean of its divisors is an integer number (8156143125).

Almost surely, 2^{1153261445760} is an apocalyptic number.

1153261445760 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 1153261445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087972640000).

1153261445760 is an abundant number, since it is smaller than the sum of its proper divisors (3022683834240).

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

1153261445760 is a wasteful number, since it uses less digits than its factorization.

1153261445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1153261445760 in words is "one trillion, one hundred fifty-three billion, two hundred sixty-one million, four hundred forty-five thousand, seven hundred sixty".