1151125259520 has 576 divisors, whose sum is σ = 3957641856000. Its totient is φ = 284125298688.

The previous prime is 1151125259491. The next prime is 1151125259527. The reversal of 1151125259520 is 259525211511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151125259527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1388570466 + ... + 1388571294.

It is an arithmetic number, because the mean of its divisors is an integer number (6870906000).

Almost surely, 2^{1151125259520} is an apocalyptic number.

1151125259520 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 1151125259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978820928000).

1151125259520 is an abundant number, since it is smaller than the sum of its proper divisors (2806516596480).

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

1151125259520 is a wasteful number, since it uses less digits than its factorization.

1151125259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 39.

The spelling of 1151125259520 in words is "one trillion, one hundred fifty-one billion, one hundred twenty-five million, two hundred fifty-nine thousand, five hundred twenty".