1150362787200 has 384 divisors, whose sum is σ = 4136281511040. Its totient is φ = 278685696000.

The previous prime is 1150362787187. The next prime is 1150362787229. The reversal of 1150362787200 is 27872630511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212358892 + ... + 212364308.

It is an arithmetic number, because the mean of its divisors is an integer number (10771566435).

Almost surely, 2^{1150362787200} is an apocalyptic number.

1150362787200 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 1150362787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068140755520).

1150362787200 is an abundant number, since it is smaller than the sum of its proper divisors (2985918723840).

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

1150362787200 is a wasteful number, since it uses less digits than its factorization.

1150362787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1150362787200 in words is "one trillion, one hundred fifty billion, three hundred sixty-two million, seven hundred eighty-seven thousand, two hundred".