201567920698368 has 880 divisors, whose sum is σ = 692741622418560. Its totient is φ = 57187756670976.

The previous prime is 201567920698307. The next prime is 201567920698411. The reversal of 201567920698368 is 863896029765102.

It is a happy number.

201567920698368 is a `hidden beast` number, since 2 + 0 + 1 + 56 + 7 + 9 + 206 + 9 + 8 + 368 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201567920698296 and 201567920698305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55330198755 + ... + 55330202397.

It is an arithmetic number, because the mean of its divisors is an integer number (787206389112).

Almost surely, 2^{201567920698368} is an apocalyptic number.

201567920698368 is a gapful number since it is divisible by the number (28) 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 201567920698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346370811209280).

201567920698368 is an abundant number, since it is smaller than the sum of its proper divisors (491173701720192).

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

201567920698368 is a wasteful number, since it uses less digits than its factorization.

201567920698368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 201567920698368 in words is "two hundred one trillion, five hundred sixty-seven billion, nine hundred twenty million, six hundred ninety-eight thousand, three hundred sixty-eight".