20277388800 has 480 divisors, whose sum is σ = 77694312960. Its totient is φ = 5170176000.

The previous prime is 20277388771. The next prime is 20277388837. The reversal of 20277388800 is 888377202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20277388800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7947525 + ... + 7950075.

It is an arithmetic number, because the mean of its divisors is an integer number (161863152).

Almost surely, 2^20277388800 is an apocalyptic number.

20277388800 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 20277388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38847156480).

20277388800 is an abundant number, since it is smaller than the sum of its proper divisors (57416924160).

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

20277388800 is a wasteful number, since it uses less digits than its factorization.

20277388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20277388800 in words is "twenty billion, two hundred seventy-seven million, three hundred eighty-eight thousand, eight hundred".