17997802660656 has 800 divisors, whose sum is σ = 66298163757056. Its totient is φ = 4585351680000.

The previous prime is 17997802660637. The next prime is 17997802660661. The reversal of 17997802660656 is 65606620879971.

17997802660656 is a `hidden beast` number, since 1 + 7 + 9 + 9 + 7 + 8 + 0 + 2 + 6 + 606 + 5 + 6 = 666.

It is a super-2 number, since 2×17997802660656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2197261521 + ... + 2197269711.

Almost surely, 2^{17997802660656} is an apocalyptic number.

17997802660656 is a gapful number since it is divisible by the number (16) 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 17997802660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149081878528).

17997802660656 is an abundant number, since it is smaller than the sum of its proper divisors (48300361096400).

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

17997802660656 is a wasteful number, since it uses less digits than its factorization.

17997802660656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8863 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 17997802660656 in words is "seventeen trillion, nine hundred ninety-seven billion, eight hundred two million, six hundred sixty thousand, six hundred fifty-six".