2005197562368 has 1920 divisors, whose sum is σ = 8225713520640. Its totient is φ = 474054819840.

The previous prime is 2005197562349. The next prime is 2005197562369. The reversal of 2005197562368 is 8632657915002.

2005197562368 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 9 + 7 + 5 + 623 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2005197562369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12301825455 + ... + 12301825617.

It is an arithmetic number, because the mean of its divisors is an integer number (4284225792).

Almost surely, 2^{2005197562368} is an apocalyptic number.

2005197562368 is a gapful number since it is divisible by the number (28) 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 2005197562368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112856760320).

2005197562368 is an abundant number, since it is smaller than the sum of its proper divisors (6220515958272).

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

2005197562368 is a wasteful number, since it uses less digits than its factorization.

2005197562368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2005197562368 in words is "two trillion, five billion, one hundred ninety-seven million, five hundred sixty-two thousand, three hundred sixty-eight".