2168251624056 has 192 divisors, whose sum is σ = 6523778810880. Its totient is φ = 598158812160.

The previous prime is 2168251623943. The next prime is 2168251624061. The reversal of 2168251624056 is 6504261528612.

It is a super-2 number, since 2×2168251624056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2168251623996 and 2168251624014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16082880 + ... + 16217136.

It is an arithmetic number, because the mean of its divisors is an integer number (33978014640).

Almost surely, 2^{2168251624056} 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 2168251624056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261889405440).

2168251624056 is an abundant number, since it is smaller than the sum of its proper divisors (4355527186824).

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

2168251624056 is a wasteful number, since it uses less digits than its factorization.

2168251624056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134754 (or 134743 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 2168251624056 in words is "two trillion, one hundred sixty-eight billion, two hundred fifty-one million, six hundred twenty-four thousand, fifty-six".