1006156615056 has 40 divisors (see below), whose sum is σ = 2610893725440. Its totient is φ = 333881563776.

The previous prime is 1006156615049. The next prime is 1006156615069. The reversal of 1006156615056 is 6505166516001.

It is a super-2 number, since 2×1006156615056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006156614999 and 1006156615017.

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 7 ways as a sum of consecutive naturals, for example, 46988391 + ... + 47009798.

It is an arithmetic number, because the mean of its divisors is an integer number (65272343136).

Almost surely, 2^{1006156615056} is an apocalyptic number.

1006156615056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006156615056 is an abundant number, since it is smaller than the sum of its proper divisors (1604737110384).

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

1006156615056 is a wasteful number, since it uses less digits than its factorization.

1006156615056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93998423 (or 93998417 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 1006156615056 in words is "one trillion, six billion, one hundred fifty-six million, six hundred fifteen thousand, fifty-six".