21026361864900 has 288 divisors, whose sum is σ = 72567743367168. Its totient is φ = 4595949388800.

The previous prime is 21026361864883. The next prime is 21026361864913. The reversal of 21026361864900 is 946816362012.

It is a self number, because there is not a number n which added to its sum of digits gives 21026361864900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206818080 + ... + 206919720.

It is an arithmetic number, because the mean of its divisors is an integer number (251971331136).

Almost surely, 2^{21026361864900} is an apocalyptic number.

21026361864900 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 21026361864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283871683584).

21026361864900 is an abundant number, since it is smaller than the sum of its proper divisors (51541381502268).

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

21026361864900 is a wasteful number, since it uses less digits than its factorization.

21026361864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105971 (or 105964 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 21026361864900 in words is "twenty-one trillion, twenty-six billion, three hundred sixty-one million, eight hundred sixty-four thousand, nine hundred".