20075978198016 has 1056 divisors, whose sum is σ = 66540409528320. Its totient is φ = 5786438860800.

The previous prime is 20075978198009. The next prime is 20075978198057. The reversal of 20075978198016 is 61089187957002.

20075978198016 is a `hidden beast` number, since 20 + 0 + 7 + 597 + 8 + 1 + 9 + 8 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15550718331 + ... + 15550719621.

Almost surely, 2^{20075978198016} is an apocalyptic number.

20075978198016 is a gapful number since it is divisible by the number (26) 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 20075978198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33270204764160).

20075978198016 is an abundant number, since it is smaller than the sum of its proper divisors (46464431330304).

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

20075978198016 is a wasteful number, since it uses less digits than its factorization.

20075978198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 20075978198016 in words is "twenty trillion, seventy-five billion, nine hundred seventy-eight million, one hundred ninety-eight thousand, sixteen".