20754146400 has 216 divisors, whose sum is σ = 73152427320. Its totient is φ = 5108613120.

The previous prime is 20754146389. The next prime is 20754146419. The reversal of 20754146400 is 464145702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380016 + ... + 431184.

It is an arithmetic number, because the mean of its divisors is an integer number (338668645).

Almost surely, 2^20754146400 is an apocalyptic number.

20754146400 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 20754146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576213660).

20754146400 is an abundant number, since it is smaller than the sum of its proper divisors (52398280920).

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

20754146400 is a wasteful number, since it uses less digits than its factorization.

20754146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51218 (or 51192 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 20754146400 in words is "twenty billion, seven hundred fifty-four million, one hundred forty-six thousand, four hundred".