1355457688200 has 1152 divisors, whose sum is σ = 5987110550400. Its totient is φ = 278691840000.

The previous prime is 1355457688199. The next prime is 1355457688283. The reversal of 1355457688200 is 28867545531.

1355457688200 is a `hidden beast` number, since 1 + 3 + 5 + 545 + 76 + 8 + 8 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 282325800 + ... + 282330600.

It is an arithmetic number, because the mean of its divisors is an integer number (5197144575).

Almost surely, 2^{1355457688200} is an apocalyptic number.

1355457688200 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 1355457688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993555275200).

1355457688200 is an abundant number, since it is smaller than the sum of its proper divisors (4631652862200).

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

1355457688200 is a wasteful number, since it uses less digits than its factorization.

1355457688200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1355457688200 in words is "one trillion, three hundred fifty-five billion, four hundred fifty-seven million, six hundred eighty-eight thousand, two hundred".