1150536823800 has 768 divisors, whose sum is σ = 4484029670400. Its totient is φ = 238998988800.

The previous prime is 1150536823771. The next prime is 1150536823811. The reversal of 1150536823800 is 83286350511.

It is a super-3 number, since 3×1150536823800³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618234870 + ... + 618236730.

It is an arithmetic number, because the mean of its divisors is an integer number (5838580300).

Almost surely, 2^{1150536823800} is an apocalyptic number.

1150536823800 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 1150536823800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242014835200).

1150536823800 is an abundant number, since it is smaller than the sum of its proper divisors (3333492846600).

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

1150536823800 is a wasteful number, since it uses less digits than its factorization.

1150536823800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1150536823800 in words is "one trillion, one hundred fifty billion, five hundred thirty-six million, eight hundred twenty-three thousand, eight hundred".