2151567955856 has 80 divisors (see below), whose sum is σ = 4666234341888. Its totient is φ = 952558310400.

The previous prime is 2151567955847. The next prime is 2151567955907. The reversal of 2151567955856 is 6585597651512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2151567955792 and 2151567955801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4134506 + ... + 4625718.

Almost surely, 2^{2151567955856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151567955856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333117170944).

2151567955856 is an abundant number, since it is smaller than the sum of its proper divisors (2514666386032).

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

2151567955856 is a wasteful number, since it uses less digits than its factorization.

2151567955856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491880 (or 491874 counting only the distinct ones).

The product of its digits is 113400000, while the sum is 65.

The spelling of 2151567955856 in words is "two trillion, one hundred fifty-one billion, five hundred sixty-seven million, nine hundred fifty-five thousand, eight hundred fifty-six".