1355522488320 has 1536 divisors, whose sum is σ = 6167467837440. Its totient is φ = 244611809280.

The previous prime is 1355522488289. The next prime is 1355522488351. The reversal of 1355522488320 is 238842255531.

It is an interprime number because it is at equal distance from previous prime (1355522488289) and next prime (1355522488351).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1355522488320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522760944 + ... + 522763536.

It is an arithmetic number, because the mean of its divisors is an integer number (4015278540).

Almost surely, 2^{1355522488320} is an apocalyptic number.

1355522488320 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 1355522488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083733918720).

1355522488320 is an abundant number, since it is smaller than the sum of its proper divisors (4811945349120).

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

1355522488320 is a wasteful number, since it uses less digits than its factorization.

1355522488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 1355522488320 in words is "one trillion, three hundred fifty-five billion, five hundred twenty-two million, four hundred eighty-eight thousand, three hundred twenty".