21479290747200 has 2016 divisors, whose sum is σ = 94351913091072. Its totient is φ = 4560095232000.

The previous prime is 21479290747169. The next prime is 21479290747237. The reversal of 21479290747200 is 274709297412.

21479290747200 is a `hidden beast` number, since 2 + 14 + 79 + 2 + 90 + 7 + 472 + 0 + 0 = 666.

It is a super-2 number, since 2×21479290747200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6014921415 + ... + 6014924985.

It is an arithmetic number, because the mean of its divisors is an integer number (46801544192).

Almost surely, 2^{21479290747200} is an apocalyptic number.

21479290747200 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 21479290747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47175956545536).

21479290747200 is an abundant number, since it is smaller than the sum of its proper divisors (72872622343872).

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

21479290747200 is a wasteful number, since it uses less digits than its factorization.

21479290747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 21479290747200 in words is "twenty-one trillion, four hundred seventy-nine billion, two hundred ninety million, seven hundred forty-seven thousand, two hundred".