1164676531200 has 2112 divisors, whose sum is σ = 5117172480000. Its totient is φ = 231500021760.

The previous prime is 1164676531189. The next prime is 1164676531211. The reversal of 1164676531200 is 21356764611.

It is an interprime number because it is at equal distance from previous prime (1164676531189) and next prime (1164676531211).

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

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, 6506572711 + ... + 6506572889.

Almost surely, 2^{1164676531200} is an apocalyptic number.

1164676531200 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 1164676531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558586240000).

1164676531200 is an abundant number, since it is smaller than the sum of its proper divisors (3952495948800).

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

1164676531200 is a wasteful number, since it uses less digits than its factorization.

1164676531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1164676531200 in words is "one trillion, one hundred sixty-four billion, six hundred seventy-six million, five hundred thirty-one thousand, two hundred".