20054834150400 has 792 divisors, whose sum is σ = 85671107702640. Its totient is φ = 4583954350080.

The previous prime is 20054834150387. The next prime is 20054834150413. The reversal of 20054834150400 is 405143845002.

It is a happy number.

20054834150400 is a `hidden beast` number, since 20 + 0 + 5 + 4 + 83 + 4 + 150 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20054834150387) and next prime (20054834150413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 33572734 + ... + 34164866.

Almost surely, 2^{20054834150400} is an apocalyptic number.

20054834150400 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 20054834150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42835553851320).

20054834150400 is an abundant number, since it is smaller than the sum of its proper divisors (65616273552240).

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

20054834150400 is a wasteful number, since it uses less digits than its factorization.

20054834150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592186 (or 592150 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 20054834150400 its reverse (405143845002), we get a palindrome (20459977995402).

The spelling of 20054834150400 in words is "twenty trillion, fifty-four billion, eight hundred thirty-four million, one hundred fifty thousand, four hundred".