20540552542400 has 336 divisors, whose sum is σ = 56553449097600. Its totient is φ = 7277921280000.

The previous prime is 20540552542339. The next prime is 20540552542429. The reversal of 20540552542400 is 424525504502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585200051 + ... + 585235149.

It is an arithmetic number, because the mean of its divisors is an integer number (168313836600).

Almost surely, 2^{20540552542400} is an apocalyptic number.

20540552542400 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 20540552542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28276724548800).

20540552542400 is an abundant number, since it is smaller than the sum of its proper divisors (36012896555200).

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

20540552542400 is a wasteful number, since it uses less digits than its factorization.

20540552542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35984 (or 35969 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 38.

The spelling of 20540552542400 in words is "twenty trillion, five hundred forty billion, five hundred fifty-two million, five hundred forty-two thousand, four hundred".