20190558960 has 720 divisors, whose sum is σ = 83028123360. Its totient is φ = 4501370880.

The previous prime is 20190558953. The next prime is 20190558989. The reversal of 20190558960 is 6985509102.

20190558960 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 0 + 5 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20190558960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75057706 + ... + 75057974.

It is an arithmetic number, because the mean of its divisors is an integer number (115316838).

Almost surely, 2^20190558960 is an apocalyptic number.

20190558960 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 20190558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41514061680).

20190558960 is an abundant number, since it is smaller than the sum of its proper divisors (62837564400).

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

20190558960 is a wasteful number, since it uses less digits than its factorization.

20190558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 20190558960 in words is "twenty billion, one hundred ninety million, five hundred fifty-eight thousand, nine hundred sixty".