1355384756880 has 320 divisors, whose sum is σ = 5820527462400. Its totient is φ = 281638356480.

The previous prime is 1355384756837. The next prime is 1355384756881. The reversal of 1355384756880 is 886574835531.

1355384756880 is a `hidden beast` number, since 1 + 3 + 5 + 538 + 47 + 56 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1355384756881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3908310 + ... + 4240949.

It is an arithmetic number, because the mean of its divisors is an integer number (18189148320).

Almost surely, 2^{1355384756880} is an apocalyptic number.

1355384756880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355384756880 is an abundant number, since it is smaller than the sum of its proper divisors (4465142705520).

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

1355384756880 is a wasteful number, since it uses less digits than its factorization.

1355384756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149299 (or 8149287 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 1355384756880 in words is "one trillion, three hundred fifty-five billion, three hundred eighty-four million, seven hundred fifty-six thousand, eight hundred eighty".