1353219436800 has 3240 divisors, whose sum is σ = 6607765200960. Its totient is φ = 269866598400.

The previous prime is 1353219436741. The next prime is 1353219436819. The reversal of 1353219436800 is 86349123531.

1353219436800 is a `hidden beast` number, since 1 + 3 + 532 + 1 + 9 + 4 + 36 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8103110317 + ... + 8103110483.

It is an arithmetic number, because the mean of its divisors is an integer number (2039433704).

Almost surely, 2^{1353219436800} is an apocalyptic number.

1353219436800 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 1353219436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303882600480).

1353219436800 is an abundant number, since it is smaller than the sum of its proper divisors (5254545764160).

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

1353219436800 is a wasteful number, since it uses less digits than its factorization.

1353219436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1353219436800 in words is "one trillion, three hundred fifty-three billion, two hundred nineteen million, four hundred thirty-six thousand, eight hundred".