20635978632480 has 288 divisors, whose sum is σ = 73883579148288. Its totient is φ = 5238111283200.

The previous prime is 20635978632439. The next prime is 20635978632491. The reversal of 20635978632480 is 8423687953602.

It is a happy number.

20635978632480 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 5 + 97 + 8 + 63 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20635978632480² (a number of 27 digits) contains 22 as substring.

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, 1066104 + ... + 6512183.

It is an arithmetic number, because the mean of its divisors is an integer number (256540205376).

Almost surely, 2^{20635978632480} is an apocalyptic number.

20635978632480 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 20635978632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36941789574144).

20635978632480 is an abundant number, since it is smaller than the sum of its proper divisors (53247600515808).

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

20635978632480 is a wasteful number, since it uses less digits than its factorization.

20635978632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578400 (or 7578389 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20635978632480 in words is "twenty trillion, six hundred thirty-five billion, nine hundred seventy-eight million, six hundred thirty-two thousand, four hundred eighty".