1358948828160 has 1408 divisors, whose sum is σ = 6163245158400. Its totient is φ = 275719127040.

The previous prime is 1358948828147. The next prime is 1358948828201. The reversal of 1358948828160 is 618288498531.

1358948828160 is a `hidden beast` number, since 1 + 3 + 589 + 48 + 8 + 2 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457711156 + ... + 457714124.

It is an arithmetic number, because the mean of its divisors is an integer number (4377304800).

Almost surely, 2^{1358948828160} is an apocalyptic number.

1358948828160 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 1358948828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081622579200).

1358948828160 is an abundant number, since it is smaller than the sum of its proper divisors (4804296330240).

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

1358948828160 is a wasteful number, since it uses less digits than its factorization.

1358948828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 1358948828160 in words is "one trillion, three hundred fifty-eight billion, nine hundred forty-eight million, eight hundred twenty-eight thousand, one hundred sixty".