20254175400960 has 220 divisors, whose sum is σ = 72579514543668. Its totient is φ = 5401113329664.

The previous prime is 20254175400959. The next prime is 20254175400961. The reversal of 20254175400960 is 6900457145202.

20254175400960 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 4 + 17 + 540 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20254175400959) and next prime (20254175400961).

It can be written as a sum of positive squares in 2 ways, for example, as 10010693505024 + 10243481895936 = 3163968^2 + 3200544^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20254175400961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24004377 + ... + 24833816.

Almost surely, 2^{20254175400960} is an apocalyptic number.

20254175400960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20254175400960 is an abundant number, since it is smaller than the sum of its proper divisors (52325339142708).

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

20254175400960 is an equidigital number, since it uses as much as digits as its factorization.

20254175400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48838230 (or 48838203 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20254175400960 in words is "twenty trillion, two hundred fifty-four billion, one hundred seventy-five million, four hundred thousand, nine hundred sixty".