20077047244800 has 4032 divisors, whose sum is σ = 96224293751040. Its totient is φ = 4036094853120.

The previous prime is 20077047244747. The next prime is 20077047244873. The reversal of 20077047244800 is 844274077002.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×20077047244800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 78120806272 + ... + 78120806528.

It is an arithmetic number, because the mean of its divisors is an integer number (23865152220).

Almost surely, 2^{20077047244800} is an apocalyptic number.

20077047244800 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 20077047244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48112146875520).

20077047244800 is an abundant number, since it is smaller than the sum of its proper divisors (76147246506240).

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

20077047244800 is a wasteful number, since it uses less digits than its factorization.

20077047244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 20077047244800 in words is "twenty trillion, seventy-seven billion, forty-seven million, two hundred forty-four thousand, eight hundred".