20164359600 has 1080 divisors, whose sum is σ = 93313715040. Its totient is φ = 3933388800.

The previous prime is 20164359587. The next prime is 20164359637. The reversal of 20164359600 is 695346102.

It is a happy number.

20164359600 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 43 + 5 + 9 + 600 = 666.

It is a super-2 number, since 2×20164359600² (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 an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51836206 + ... + 51836594.

It is an arithmetic number, because the mean of its divisors is an integer number (86401588).

Almost surely, 2^20164359600 is an apocalyptic number.

20164359600 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 20164359600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656857520).

20164359600 is an abundant number, since it is smaller than the sum of its proper divisors (73149355440).

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

20164359600 is a wasteful number, since it uses less digits than its factorization.

20164359600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20164359600 in words is "twenty billion, one hundred sixty-four million, three hundred fifty-nine thousand, six hundred".