1006837558272 has 1320 divisors, whose sum is σ = 3852408671232. Its totient is φ = 256197427200.

The previous prime is 1006837558261. The next prime is 1006837558313. The reversal of 1006837558272 is 2728557386001.

1006837558272 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 83 + 7 + 558 + 2 + 7 + 2 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 3041805147 + ... + 3041805477.

Almost surely, 2^{1006837558272} is an apocalyptic number.

1006837558272 is a gapful number since it is divisible by the number (12) 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 1006837558272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926204335616).

1006837558272 is an abundant number, since it is smaller than the sum of its proper divisors (2845571112960).

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

1006837558272 is a wasteful number, since it uses less digits than its factorization.

1006837558272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1006837558272 in words is "one trillion, six billion, eight hundred thirty-seven million, five hundred fifty-eight thousand, two hundred seventy-two".