21265532742300 has 576 divisors, whose sum is σ = 81998239776768. Its totient is φ = 4123595520000.

The previous prime is 21265532742283. The next prime is 21265532742347. The reversal of 21265532742300 is 324723556212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21295185 + ... + 22271415.

It is an arithmetic number, because the mean of its divisors is an integer number (142358055168).

Almost surely, 2^{21265532742300} is an apocalyptic number.

21265532742300 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 21265532742300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40999119888384).

21265532742300 is an abundant number, since it is smaller than the sum of its proper divisors (60732707034468).

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

21265532742300 is a wasteful number, since it uses less digits than its factorization.

21265532742300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976330 (or 976323 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 21265532742300 in words is "twenty-one trillion, two hundred sixty-five billion, five hundred thirty-two million, seven hundred forty-two thousand, three hundred".