21349585528425 has 288 divisors, whose sum is σ = 48580204667904. Its totient is φ = 8705188800000.

The previous prime is 21349585528421. The next prime is 21349585528451. The reversal of 21349585528425 is 52482558594312.

21349585528425 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 9 + 5 + 85 + 528 + 4 + 25 = 666.

It is not a de Polignac number, because 21349585528425 - 2² = 21349585528421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21349585528421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 291317887 + ... + 291391163.

It is an arithmetic number, because the mean of its divisors is an integer number (168681266208).

Almost surely, 2^{21349585528425} is an apocalyptic number.

21349585528425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21349585528425 is an abundant number, since it is smaller than the sum of its proper divisors (27230619139479).

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

21349585528425 is a wasteful number, since it uses less digits than its factorization.

21349585528425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73629 (or 73621 counting only the distinct ones).

The product of its digits is 138240000, while the sum is 63.

The spelling of 21349585528425 in words is "twenty-one trillion, three hundred forty-nine billion, five hundred eighty-five million, five hundred twenty-eight thousand, four hundred twenty-five".