20628110700 has 144 divisors (see below), whose sum is σ = 66363564960. Its totient is φ = 5496848640.

The previous prime is 20628110693. The next prime is 20628110729. The reversal of 20628110700 is 701182602.

20628110700 is a `hidden beast` number, since 20 + 628 + 1 + 10 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7269682 + ... + 7272518.

It is an arithmetic number, because the mean of its divisors is an integer number (460858090).

Almost surely, 2^20628110700 is an apocalyptic number.

20628110700 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 20628110700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33181782480).

20628110700 is an abundant number, since it is smaller than the sum of its proper divisors (45735454260).

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

20628110700 is a wasteful number, since it uses less digits than its factorization.

20628110700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

It can be divided in two parts, 20628 and 110700, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 20628110700 in words is "twenty billion, six hundred twenty-eight million, one hundred ten thousand, seven hundred".