1197504806400 has 1080 divisors, whose sum is σ = 5278890165120. Its totient is φ = 257593835520.

The previous prime is 1197504806387. The next prime is 1197504806411. The reversal of 1197504806400 is 46084057911.

1197504806400 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 504 + 80 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×1197504806400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95955361 + ... + 95967839.

It is an arithmetic number, because the mean of its divisors is an integer number (4887861264).

Almost surely, 2^{1197504806400} is an apocalyptic number.

1197504806400 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 1197504806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639445082560).

1197504806400 is an abundant number, since it is smaller than the sum of its proper divisors (4081385358720).

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

1197504806400 is a wasteful number, since it uses less digits than its factorization.

1197504806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1197504806400 in words is "one trillion, one hundred ninety-seven billion, five hundred four million, eight hundred six thousand, four hundred".