201959686656 has 960 divisors, whose sum is σ = 779228626176. Its totient is φ = 48837427200.

The previous prime is 201959686583. The next prime is 201959686661. The reversal of 201959686656 is 656686959102.

201959686656 is a `hidden beast` number, since 20 + 19 + 596 + 8 + 6 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 201959686593 and 201959686602.

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, 292271271 + ... + 292271961.

Almost surely, 2^201959686656 is an apocalyptic number.

201959686656 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 201959686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389614313088).

201959686656 is an abundant number, since it is smaller than the sum of its proper divisors (577268939520).

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

201959686656 is a wasteful number, since it uses less digits than its factorization.

201959686656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 201959686656 in words is "two hundred one billion, nine hundred fifty-nine million, six hundred eighty-six thousand, six hundred fifty-six".