20010738116304 has 540 divisors, whose sum is σ = 63091884825216. Its totient is φ = 6145310156544.

The previous prime is 20010738116287. The next prime is 20010738116351. The reversal of 20010738116304 is 40361183701002.

It is a happy number.

20010738116304 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 7 + 3 + 8 + 11 + 630 + 4 = 666.

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 107 ways as a sum of consecutive naturals, for example, 15310434019 + ... + 15310435325.

Almost surely, 2^{20010738116304} is an apocalyptic number.

20010738116304 is a gapful number since it is divisible by the number (24) 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 20010738116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545942412608).

20010738116304 is an abundant number, since it is smaller than the sum of its proper divisors (43081146708912).

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

20010738116304 is an equidigital number, since it uses as much as digits as its factorization.

20010738116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20010738116304 in words is "twenty trillion, ten billion, seven hundred thirty-eight million, one hundred sixteen thousand, three hundred four".