20648872823040 has 1728 divisors, whose sum is σ = 97234439178240. Its totient is φ = 4064760299520.

The previous prime is 20648872823039. The next prime is 20648872823057. The reversal of 20648872823040 is 4032827884602.

20648872823040 is a `hidden beast` number, since 20 + 6 + 488 + 72 + 8 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455028832 + ... + 455074208.

It is an arithmetic number, because the mean of its divisors is an integer number (56269930080).

Almost surely, 2^{20648872823040} is an apocalyptic number.

20648872823040 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 20648872823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48617219589120).

20648872823040 is an abundant number, since it is smaller than the sum of its proper divisors (76585566355200).

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

20648872823040 is a wasteful number, since it uses less digits than its factorization.

20648872823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45450 (or 45424 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 20648872823040 in words is "twenty trillion, six hundred forty-eight billion, eight hundred seventy-two million, eight hundred twenty-three thousand, forty".