20270753820 has 144 divisors (see below), whose sum is σ = 67121658240. Its totient is φ = 5121009216.

The previous prime is 20270753759. The next prime is 20270753827. The reversal of 20270753820 is 2835707202.

It is a happy number.

20270753820 is a `hidden beast` number, since 2 + 0 + 270 + 7 + 5 + 382 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20270753827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17422 + ... + 202101.

Almost surely, 2^20270753820 is an apocalyptic number.

20270753820 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 20270753820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33560829120).

20270753820 is an abundant number, since it is smaller than the sum of its proper divisors (46850904420).

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

20270753820 is a wasteful number, since it uses less digits than its factorization.

20270753820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219566 (or 219552 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20270753820 in words is "twenty billion, two hundred seventy million, seven hundred fifty-three thousand, eight hundred twenty".