20167098556416 has 896 divisors, whose sum is σ = 65902250557440. Its totient is φ = 5363977420800.

The previous prime is 20167098556373. The next prime is 20167098556441. The reversal of 20167098556416 is 61465589076102.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×20167098556416² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20167098556416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15289687405 + ... + 15289688723.

Almost surely, 2^{20167098556416} 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 20167098556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951125278720).

20167098556416 is an abundant number, since it is smaller than the sum of its proper divisors (45735152001024).

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

20167098556416 is a wasteful number, since it uses less digits than its factorization.

20167098556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 20167098556416 in words is "twenty trillion, one hundred sixty-seven billion, ninety-eight million, five hundred fifty-six thousand, four hundred sixteen".