1320572253000 has 768 divisors, whose sum is σ = 5562557245440. Its totient is φ = 253289088000.

The previous prime is 1320572252983. The next prime is 1320572253037. The reversal of 1320572253000 is 3522750231.

It is a happy number.

It is a super-2 number, since 2×1320572253000² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 39022087 + ... + 39055913.

It is an arithmetic number, because the mean of its divisors is an integer number (7242913080).

Almost surely, 2^{1320572253000} is an apocalyptic number.

1320572253000 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 1320572253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781278622720).

1320572253000 is an abundant number, since it is smaller than the sum of its proper divisors (4241984992440).

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

1320572253000 is a wasteful number, since it uses less digits than its factorization.

1320572253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33895 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 1320572253000 in words is "one trillion, three hundred twenty billion, five hundred seventy-two million, two hundred fifty-three thousand".