1358988190560 has 2592 divisors, whose sum is σ = 6659430785280. Its totient is φ = 246234193920.

The previous prime is 1358988190513. The next prime is 1358988190597. The reversal of 1358988190560 is 650918898531.

1358988190560 is a `hidden beast` number, since 1 + 3 + 58 + 9 + 8 + 8 + 19 + 0 + 560 = 666.

It is a super-2 number, since 2×1358988190560² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3916392307 + ... + 3916392653.

It is an arithmetic number, because the mean of its divisors is an integer number (2569224840).

Almost surely, 2^{1358988190560} is an apocalyptic number.

1358988190560 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 1358988190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329715392640).

1358988190560 is an abundant number, since it is smaller than the sum of its proper divisors (5300442594720).

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

1358988190560 is a wasteful number, since it uses less digits than its factorization.

1358988190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 1358988190560 in words is "one trillion, three hundred fifty-eight billion, nine hundred eighty-eight million, one hundred ninety thousand, five hundred sixty".