201893465490560 has 128 divisors (see below), whose sum is σ = 484309019557440. Its totient is φ = 80480153456640.

The previous prime is 201893465490533. The next prime is 201893465490697. The reversal of 201893465490560 is 65094564398102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201893465490560² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 201893465490493 and 201893465490502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152660590 + ... + 1152835730.

Almost surely, 2^{201893465490560} is an apocalyptic number.

201893465490560 is a gapful number since it is divisible by the number (20) 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 201893465490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242154509778720).

201893465490560 is an abundant number, since it is smaller than the sum of its proper divisors (282415554066880).

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

201893465490560 is a wasteful number, since it uses less digits than its factorization.

201893465490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181334 (or 181322 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 62.

The spelling of 201893465490560 in words is "two hundred one trillion, eight hundred ninety-three billion, four hundred sixty-five million, four hundred ninety thousand, five hundred sixty".