1311551623200 has 576 divisors, whose sum is σ = 5530836003840. Its totient is φ = 262157783040.

The previous prime is 1311551623169. The next prime is 1311551623223. The reversal of 1311551623200 is 23261551131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3991567 + ... + 4307633.

It is an arithmetic number, because the mean of its divisors is an integer number (9602145840).

Almost surely, 2^{1311551623200} is an apocalyptic number.

1311551623200 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 1311551623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765418001920).

1311551623200 is an abundant number, since it is smaller than the sum of its proper divisors (4219284380640).

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

1311551623200 is a wasteful number, since it uses less digits than its factorization.

1311551623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316129 (or 316116 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1311551623200 in words is "one trillion, three hundred eleven billion, five hundred fifty-one million, six hundred twenty-three thousand, two hundred".