1363725227520 has 400 divisors, whose sum is σ = 4892092310160. Its totient is φ = 363089903616.

The previous prime is 1363725227519. The next prime is 1363725227533. The reversal of 1363725227520 is 257225273631.

It is a happy number.

1363725227520 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 72 + 52 + 2 + 7 + 520 = 666.

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 39 ways as a sum of consecutive naturals, for example, 141622066 + ... + 141631694.

Almost surely, 2^{1363725227520} is an apocalyptic number.

1363725227520 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 1363725227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446046155080).

1363725227520 is an abundant number, since it is smaller than the sum of its proper divisors (3528367082640).

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

1363725227520 is an frugal number, since it uses more digits than its factorization.

1363725227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 1363725227520 in words is "one trillion, three hundred sixty-three billion, seven hundred twenty-five million, two hundred twenty-seven thousand, five hundred twenty".