21454274969600 has 540 divisors, whose sum is σ = 59847484276272. Its totient is φ = 7619366092800.

The previous prime is 21454274969497. The next prime is 21454274969609. The reversal of 21454274969600 is 696947245412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21454274969600.

It is not an unprimeable number, because it can be changed into a prime (21454274969609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131143767 + ... + 2131153833.

Almost surely, 2^{21454274969600} is an apocalyptic number.

21454274969600 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 21454274969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29923742138136).

21454274969600 is an abundant number, since it is smaller than the sum of its proper divisors (38393209306672).

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

21454274969600 is a wasteful number, since it uses less digits than its factorization.

21454274969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 21454274969600 in words is "twenty-one trillion, four hundred fifty-four billion, two hundred seventy-four million, nine hundred sixty-nine thousand, six hundred".