1158253024272 has 160 divisors (see below), whose sum is σ = 3173349928320. Its totient is φ = 363019345920.

The previous prime is 1158253024207. The next prime is 1158253024301. The reversal of 1158253024272 is 2724203528511.

It is a super-2 number, since 2×1158253024272² (a number of 25 digits) contains 22 as substring.

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, 75630888 + ... + 75646200.

It is an arithmetic number, because the mean of its divisors is an integer number (19833437052).

Almost surely, 2^{1158253024272} is an apocalyptic number.

1158253024272 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 1158253024272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586674964160).

1158253024272 is an abundant number, since it is smaller than the sum of its proper divisors (2015096904048).

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

1158253024272 is a wasteful number, since it uses less digits than its factorization.

1158253024272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961 (or 15955 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 1158253024272 in words is "one trillion, one hundred fifty-eight billion, two hundred fifty-three million, twenty-four thousand, two hundred seventy-two".