20601256435200 has 3600 divisors, whose sum is σ = 93173163393024. Its totient is φ = 4477184409600.

The previous prime is 20601256435183. The next prime is 20601256435247. The reversal of 20601256435200 is 253465210602.

20601256435200 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 1 + 2 + 5 + 643 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 359 ways as a sum of consecutive naturals, for example, 162214617537 + ... + 162214617663.

Almost surely, 2^{20601256435200} is an apocalyptic number.

20601256435200 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 20601256435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46586581696512).

20601256435200 is an abundant number, since it is smaller than the sum of its proper divisors (72571906957824).

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

20601256435200 is a wasteful number, since it uses less digits than its factorization.

20601256435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20601256435200 in words is "twenty trillion, six hundred one billion, two hundred fifty-six million, four hundred thirty-five thousand, two hundred".