1001180736000 has 800 divisors, whose sum is σ = 3756982394880. Its totient is φ = 265006080000.

The previous prime is 1001180735987. The next prime is 1001180736013. The reversal of 1001180736000 is 6370811001.

It is an interprime number because it is at equal distance from previous prime (1001180735987) and next prime (1001180736013).

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×1001180736000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 782783361 + ... + 782784639.

Almost surely, 2^{1001180736000} is an apocalyptic number.

1001180736000 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 1001180736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878491197440).

1001180736000 is an abundant number, since it is smaller than the sum of its proper divisors (2755801658880).

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

1001180736000 is an equidigital number, since it uses as much as digits as its factorization.

1001180736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1001180736000 in words is "one trillion, one billion, one hundred eighty million, seven hundred thirty-six thousand".