1005247999680 has 224 divisors, whose sum is σ = 3248144335296. Its totient is φ = 263362707456.

The previous prime is 1005247999643. The next prime is 1005247999739. The reversal of 1005247999680 is 869997425001.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12718042 + ... + 12796838.

It is an arithmetic number, because the mean of its divisors is an integer number (14500644354).

Almost surely, 2^{1005247999680} is an apocalyptic number.

1005247999680 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 1005247999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624072167648).

1005247999680 is an abundant number, since it is smaller than the sum of its proper divisors (2242896335616).

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

1005247999680 is a wasteful number, since it uses less digits than its factorization.

1005247999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79051 (or 79041 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 1005247999680 in words is "one trillion, five billion, two hundred forty-seven million, nine hundred ninety-nine thousand, six hundred eighty".