1353904588800 has 1152 divisors, whose sum is σ = 5369956300800. Its totient is φ = 333085409280.

The previous prime is 1353904588793. The next prime is 1353904588831. The reversal of 1353904588800 is 88854093531.

1353904588800 is a `hidden beast` number, since 1 + 3 + 53 + 9 + 0 + 4 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1245541857 + ... + 1245542943.

It is an arithmetic number, because the mean of its divisors is an integer number (4661420400).

Almost surely, 2^{1353904588800} is an apocalyptic number.

1353904588800 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 1353904588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684978150400).

1353904588800 is an abundant number, since it is smaller than the sum of its proper divisors (4016051712000).

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

1353904588800 is a wasteful number, since it uses less digits than its factorization.

1353904588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1353904588800 in words is "one trillion, three hundred fifty-three billion, nine hundred four million, five hundred eighty-eight thousand, eight hundred".