20876579349120 has 2560 divisors, whose sum is σ = 89757564272640. Its totient is φ = 4564972339200.

The previous prime is 20876579349091. The next prime is 20876579349127. The reversal of 20876579349120 is 2194397567802.

20876579349120 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 6 + 57 + 93 + 491 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (20876579349127) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 38165592687 + ... + 38165593233.

It is an arithmetic number, because the mean of its divisors is an integer number (35061548544).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20876579349120 = 41753158698240, but 3⋅20876579349120 = 62629738047360 is not.

Almost surely, 2^{20876579349120} is an apocalyptic number.

20876579349120 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 20876579349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44878782136320).

20876579349120 is an abundant number, since it is smaller than the sum of its proper divisors (68880984923520).

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

20876579349120 is a wasteful number, since it uses less digits than its factorization.

20876579349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 20876579349120 in words is "twenty trillion, eight hundred seventy-six billion, five hundred seventy-nine million, three hundred forty-nine thousand, one hundred twenty".