21164103600 has 240 divisors, whose sum is σ = 70479155712. Its totient is φ = 5424122880.

The previous prime is 21164103599. The next prime is 21164103647. The reversal of 21164103600 is 630146112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3682329 + ... + 3688071.

Almost surely, 2^21164103600 is an apocalyptic number.

21164103600 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 21164103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239577856).

21164103600 is an abundant number, since it is smaller than the sum of its proper divisors (49315052112).

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

21164103600 is a wasteful number, since it uses less digits than its factorization.

21164103600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21164103600 its reverse (630146112), we get a palindrome (21794249712).

The spelling of 21164103600 in words is "twenty-one billion, one hundred sixty-four million, one hundred three thousand, six hundred".