1153949002752 has 396 divisors, whose sum is σ = 3874324328136. Its totient is φ = 304331489280.

The previous prime is 1153949002721. The next prime is 1153949002769. The reversal of 1153949002752 is 2572009493511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25416552 + ... + 25461912.

Almost surely, 2^{1153949002752} is an apocalyptic number.

1153949002752 is a gapful number since it is divisible by the number (12) 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 1153949002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937162164068).

1153949002752 is an abundant number, since it is smaller than the sum of its proper divisors (2720375325384).

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

1153949002752 is a wasteful number, since it uses less digits than its factorization.

1153949002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45424 (or 45386 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 1153949002752 in words is "one trillion, one hundred fifty-three billion, nine hundred forty-nine million, two thousand, seven hundred fifty-two".