20200007761920 has 768 divisors, whose sum is σ = 83509801390080. Its totient is φ = 4416347308032.

The previous prime is 20200007761909. The next prime is 20200007761957. The reversal of 20200007761920 is 2916770000202.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237361617 + ... + 237446703.

It is an arithmetic number, because the mean of its divisors is an integer number (108736720560).

Almost surely, 2^{20200007761920} is an apocalyptic number.

20200007761920 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 20200007761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41754900695040).

20200007761920 is an abundant number, since it is smaller than the sum of its proper divisors (63309793628160).

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

20200007761920 is an equidigital number, since it uses as much as digits as its factorization.

20200007761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85158 (or 85127 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 20200007761920 in words is "twenty trillion, two hundred billion, seven million, seven hundred sixty-one thousand, nine hundred twenty".