20162916900 has 540 divisors, whose sum is σ = 78143037588. Its totient is φ = 4480842240.

The previous prime is 20162916899. The next prime is 20162916947. The reversal of 20162916900 is 961926102.

20162916900 is a `hidden beast` number, since 20 + 1 + 629 + 1 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3418039296 + 16744877604 = 58464^2 + 129402^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×20162916900² (a number of 21 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 14684614 + ... + 14685986.

Almost surely, 2^20162916900 is an apocalyptic number.

20162916900 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 20162916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39071518794).

20162916900 is an abundant number, since it is smaller than the sum of its proper divisors (57980120688).

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

20162916900 is a wasteful number, since it uses less digits than its factorization.

20162916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 20162916900 in words is "twenty billion, one hundred sixty-two million, nine hundred sixteen thousand, nine hundred".