20511707425920 has 384 divisors, whose sum is σ = 71374630429440. Its totient is φ = 5427722207232.

The previous prime is 20511707425877. The next prime is 20511707425933. The reversal of 20511707425920 is 2952470711502.

20511707425920 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 17 + 0 + 7 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3632316537 + ... + 3632322183.

It is an arithmetic number, because the mean of its divisors is an integer number (185871433410).

Almost surely, 2^{20511707425920} is an apocalyptic number.

20511707425920 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 20511707425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35687315214720).

20511707425920 is an abundant number, since it is smaller than the sum of its proper divisors (50862923003520).

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

20511707425920 is a wasteful number, since it uses less digits than its factorization.

20511707425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 20511707425920 in words is "twenty trillion, five hundred eleven billion, seven hundred seven million, four hundred twenty-five thousand, nine hundred twenty".