20648092734720 has 3456 divisors, whose sum is σ = 89276205957120. Its totient is φ = 4514807808000.

The previous prime is 20648092734713. The next prime is 20648092734749. The reversal of 20648092734720 is 2743729084602.

20648092734720 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 80 + 92 + 7 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162583407297 + ... + 162583407423.

It is an arithmetic number, because the mean of its divisors is an integer number (25832235520).

Almost surely, 2^{20648092734720} is an apocalyptic number.

20648092734720 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 20648092734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44638102978560).

20648092734720 is an abundant number, since it is smaller than the sum of its proper divisors (68628113222400).

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

20648092734720 is a wasteful number, since it uses less digits than its factorization.

20648092734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20648092734720 in words is "twenty trillion, six hundred forty-eight billion, ninety-two million, seven hundred thirty-four thousand, seven hundred twenty".