1150595953920 has 2160 divisors, whose sum is σ = 5135989541760. Its totient is φ = 244635697152.

The previous prime is 1150595953901. The next prime is 1150595953973. The reversal of 1150595953920 is 293595950511.

1150595953920 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 59 + 59 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5024436366 + ... + 5024436594.

It is an arithmetic number, because the mean of its divisors is an integer number (2377772936).

Almost surely, 2^{1150595953920} is an apocalyptic number.

1150595953920 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 1150595953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567994770880).

1150595953920 is an abundant number, since it is smaller than the sum of its proper divisors (3985393587840).

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

1150595953920 is a wasteful number, since it uses less digits than its factorization.

1150595953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2733750, while the sum is 54.

The spelling of 1150595953920 in words is "one trillion, one hundred fifty billion, five hundred ninety-five million, nine hundred fifty-three thousand, nine hundred twenty".