1151255300000 has 576 divisors, whose sum is σ = 3266029898208. Its totient is φ = 395673600000.

The previous prime is 1151255299979. The next prime is 1151255300011. The reversal of 1151255300000 is 35521511.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 953333526544 + 197921773456 = 976388^2 + 444884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2497299770 + ... + 2497300230.

Almost surely, 2^{1151255300000} is an apocalyptic number.

1151255300000 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 1151255300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633014949104).

1151255300000 is an abundant number, since it is smaller than the sum of its proper divisors (2114774598208).

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

1151255300000 is a wasteful number, since it uses less digits than its factorization.

1151255300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 1151255300000 in words is "one trillion, one hundred fifty-one billion, two hundred fifty-five million, three hundred thousand".