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20827463623680 = 2103571731271167
BaseRepresentation
bin1001011110001010001011…
…00100100010010000000000
32201202002022202020212210210
410233011011210202100000
510212214121141424210
6112144001003154120
74246506651540420
oct457050544422000
981662282225723
1020827463623680
1166aa97227678a
122404603515940
13b81037cca9bc
145200a9c2c480
15261b8428ce20
hex12f145922400

20827463623680 has 2112 divisors, whose sum is σ = 84973323165696. Its totient is φ = 4249328025600.

The previous prime is 20827463623643. The next prime is 20827463623721. The reversal of 20827463623680 is 8632636472802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20827463623680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124715350957 + ... + 124715351123.

Almost surely, 220827463623680 is an apocalyptic number.

20827463623680 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 20827463623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42486661582848).

20827463623680 is an abundant number, since it is smaller than the sum of its proper divisors (64145859542016).

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

20827463623680 is a wasteful number, since it uses less digits than its factorization.

20827463623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 20827463623680 in words is "twenty trillion, eight hundred twenty-seven billion, four hundred sixty-three million, six hundred twenty-three thousand, six hundred eighty".