21198711600 has 360 divisors, whose sum is σ = 81019403712. Its totient is φ = 5090035200.

The previous prime is 21198711539. The next prime is 21198711607. The reversal of 21198711600 is 611789112.

21198711600 is a `hidden beast` number, since 21 + 19 + 8 + 7 + 11 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (21198711607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4234699 + ... + 4239701.

Almost surely, 2^21198711600 is an apocalyptic number.

21198711600 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 21198711600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40509701856).

21198711600 is an abundant number, since it is smaller than the sum of its proper divisors (59820692112).

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

21198711600 is a wasteful number, since it uses less digits than its factorization.

21198711600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 21198711600 in words is "twenty-one billion, one hundred ninety-eight million, seven hundred eleven thousand, six hundred".