1005274768896 has 200 divisors, whose sum is σ = 3002273482824. Its totient is φ = 334891376640.

The previous prime is 1005274768891. The next prime is 1005274768969. The reversal of 1005274768896 is 6988674725001.

1005274768896 is a `hidden beast` number, since 1 + 0 + 0 + 527 + 47 + 68 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005274768891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80076156 + ... + 80088708.

Almost surely, 2^{1005274768896} is an apocalyptic number.

1005274768896 is a gapful number since it is divisible by the number (16) 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 1005274768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501136741412).

1005274768896 is an abundant number, since it is smaller than the sum of its proper divisors (1996998713928).

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

1005274768896 is an equidigital number, since it uses as much as digits as its factorization.

1005274768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1005274768896 in words is "one trillion, five billion, two hundred seventy-four million, seven hundred sixty-eight thousand, eight hundred ninety-six".