20412691200 has 432 divisors, whose sum is σ = 81663523200. Its totient is φ = 4948070400.

The previous prime is 20412691183. The next prime is 20412691217. The reversal of 20412691200 is 219621402.

It is an interprime number because it is at equal distance from previous prime (20412691183) and next prime (20412691217).

It is a tau number, because it is divible by the number of its divisors (432).

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, 1895431 + ... + 1906169.

Almost surely, 2^20412691200 is an apocalyptic number.

20412691200 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 20412691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40831761600).

20412691200 is an abundant number, since it is smaller than the sum of its proper divisors (61250832000).

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

20412691200 is a wasteful number, since it uses less digits than its factorization.

20412691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20412691200 in words is "twenty billion, four hundred twelve million, six hundred ninety-one thousand, two hundred".