20225511405504 has 336 divisors, whose sum is σ = 62460336669120. Its totient is φ = 6244214538240.

The previous prime is 20225511405479. The next prime is 20225511405551. The reversal of 20225511405504 is 40550411552202.

20225511405504 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 5 + 5 + 1 + 140 + 5 + 504 = 666.

It is a super-2 number, since 2×20225511405504² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43650952 + ... + 44111864.

Almost surely, 2^{20225511405504} is an apocalyptic number.

20225511405504 is a gapful number since it is divisible by the number (24) 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 20225511405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31230168334560).

20225511405504 is an abundant number, since it is smaller than the sum of its proper divisors (42234825263616).

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

20225511405504 is a wasteful number, since it uses less digits than its factorization.

20225511405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461068 (or 461055 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 20225511405504 its reverse (40550411552202), we get a palindrome (60775922957706).

The spelling of 20225511405504 in words is "twenty trillion, two hundred twenty-five billion, five hundred eleven million, four hundred five thousand, five hundred four".