20011058242560 has 2112 divisors, whose sum is σ = 90694784194560. Its totient is φ = 4109669498880.

The previous prime is 20011058242559. The next prime is 20011058242573. The reversal of 20011058242560 is 6524285011002.

20011058242560 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 0 + 58 + 2 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8526227307 + ... + 8526229653.

Almost surely, 2^{20011058242560} is an apocalyptic number.

20011058242560 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 20011058242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45347392097280).

20011058242560 is an abundant number, since it is smaller than the sum of its proper divisors (70683725952000).

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

20011058242560 is a wasteful number, since it uses less digits than its factorization.

20011058242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20011058242560 in words is "twenty trillion, eleven billion, fifty-eight million, two hundred forty-two thousand, five hundred sixty".