1008048222720 has 1280 divisors, whose sum is σ = 4585763635200. Its totient is φ = 203763548160.

The previous prime is 1008048222677. The next prime is 1008048222751. The reversal of 1008048222720 is 272228408001.

1008048222720 is a `hidden beast` number, since 10 + 0 + 80 + 482 + 22 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1008048222720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196920321 + ... + 196925439.

It is an arithmetic number, because the mean of its divisors is an integer number (3582627840).

Almost surely, 2^{1008048222720} is an apocalyptic number.

1008048222720 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 1008048222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292881817600).

1008048222720 is an abundant number, since it is smaller than the sum of its proper divisors (3577715412480).

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

1008048222720 is a wasteful number, since it uses less digits than its factorization.

1008048222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 1008048222720 in words is "one trillion, eight billion, forty-eight million, two hundred twenty-two thousand, seven hundred twenty".