21253532226300 has 432 divisors, whose sum is σ = 75752459782272. Its totient is φ = 4938289804800.

The previous prime is 21253532226257. The next prime is 21253532226361. The reversal of 21253532226300 is 362223535212.

21253532226300 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 3 + 5 + 322 + 26 + 300 = 666.

It is a super-3 number, since 3×21253532226300³ (a number of 41 digits) contains 333 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 143 ways as a sum of consecutive naturals, for example, 24109099 + ... + 24975101.

Almost surely, 2^{21253532226300} is an apocalyptic number.

21253532226300 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 21253532226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37876229891136).

21253532226300 is an abundant number, since it is smaller than the sum of its proper divisors (54498927555972).

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

21253532226300 is a wasteful number, since it uses less digits than its factorization.

21253532226300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866138 (or 866128 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 21253532226300 in words is "twenty-one trillion, two hundred fifty-three billion, five hundred thirty-two million, two hundred twenty-six thousand, three hundred".