20701863000 has 1152 divisors, whose sum is σ = 92051406720. Its totient is φ = 4151347200.

The previous prime is 20701862989. The next prime is 20701863019. The reversal of 20701863000 is 36810702.

20701863000 is a `hidden beast` number, since 20 + 7 + 0 + 1 + 8 + 630 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 131858922 + ... + 131859078.

It is an arithmetic number, because the mean of its divisors is an integer number (79905735).

Almost surely, 2^20701863000 is an apocalyptic number.

20701863000 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 20701863000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46025703360).

20701863000 is an abundant number, since it is smaller than the sum of its proper divisors (71349543720).

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

20701863000 is a wasteful number, since it uses less digits than its factorization.

20701863000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 2070 and 1863000, that multiplied together give a square (3856410000 = 62100²).

The spelling of 20701863000 in words is "twenty billion, seven hundred one million, eight hundred sixty-three thousand".