21273917425200 has 1920 divisors, whose sum is σ = 86181569740800. Its totient is φ = 4940103168000.

The previous prime is 21273917425193. The next prime is 21273917425219. The reversal of 21273917425200 is 252471937212.

21273917425200 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 3 + 9 + 17 + 425 + 200 = 666.

It is a super-2 number, since 2×21273917425200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89012206681 + ... + 89012206919.

It is an arithmetic number, because the mean of its divisors is an integer number (44886234240).

Almost surely, 2^{21273917425200} is an apocalyptic number.

21273917425200 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 21273917425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43090784870400).

21273917425200 is an abundant number, since it is smaller than the sum of its proper divisors (64907652315600).

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

21273917425200 is a wasteful number, since it uses less digits than its factorization.

21273917425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21273917425200 in words is "twenty-one trillion, two hundred seventy-three billion, nine hundred seventeen million, four hundred twenty-five thousand, two hundred".