201892959120960 has 784 divisors, whose sum is σ = 763655661603072. Its totient is φ = 50641392844800.

The previous prime is 201892959120959. The next prime is 201892959120997. The reversal of 201892959120960 is 69021959298102.

201892959120960 is a `hidden beast` number, since 2 + 0 + 1 + 89 + 295 + 9 + 1 + 209 + 60 = 666.

It is a super-2 number, since 2×201892959120960² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7181977305 + ... + 7182005415.

Almost surely, 2^{201892959120960} is an apocalyptic number.

201892959120960 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 201892959120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381827830801536).

201892959120960 is an abundant number, since it is smaller than the sum of its proper divisors (561762702482112).

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

201892959120960 is a wasteful number, since it uses less digits than its factorization.

201892959120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29974 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 201892959120960 in words is "two hundred one trillion, eight hundred ninety-two billion, nine hundred fifty-nine million, one hundred twenty thousand, nine hundred sixty".