20406072960 has 1024 divisors, whose sum is σ = 93768192000. Its totient is φ = 4072882176.

The previous prime is 20406072943. The next prime is 20406072997. The reversal of 20406072960 is 6927060402.

It is a happy number.

20406072960 is a `hidden beast` number, since 2 + 0 + 40 + 607 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29876779 + ... + 29877461.

It is an arithmetic number, because the mean of its divisors is an integer number (91570500).

Almost surely, 2^20406072960 is an apocalyptic number.

20406072960 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 20406072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096000).

20406072960 is an abundant number, since it is smaller than the sum of its proper divisors (73362119040).

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

20406072960 is a wasteful number, since it uses less digits than its factorization.

20406072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20406072960 in words is "twenty billion, four hundred six million, seventy-two thousand, nine hundred sixty".