1355632520220 has 192 divisors, whose sum is σ = 4601977390080. Its totient is φ = 328563705600.

The previous prime is 1355632520189. The next prime is 1355632520267. The reversal of 1355632520220 is 220252365531.

1355632520220 is a `hidden beast` number, since 1 + 3 + 55 + 63 + 2 + 520 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28910314 + ... + 28957166.

It is an arithmetic number, because the mean of its divisors is an integer number (23968632240).

Almost surely, 2^{1355632520220} is an apocalyptic number.

1355632520220 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 1355632520220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300988695040).

1355632520220 is an abundant number, since it is smaller than the sum of its proper divisors (3246344869860).

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

1355632520220 is a wasteful number, since it uses less digits than its factorization.

1355632520220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51753 (or 51745 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1355632520220 its reverse (220252365531), we get a palindrome (1575884885751).

The spelling of 1355632520220 in words is "one trillion, three hundred fifty-five billion, six hundred thirty-two million, five hundred twenty thousand, two hundred twenty".