21285013306590 has 256 divisors, whose sum is σ = 66540947696640. Its totient is φ = 4783988183040.

The previous prime is 21285013306553. The next prime is 21285013306597. The reversal of 21285013306590 is 9560331058212.

21285013306590 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 50 + 1 + 3 + 3 + 0 + 6 + 590 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21285013306597) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236794 + ... + 6528866.

It is an arithmetic number, because the mean of its divisors is an integer number (259925576940).

Almost surely, 2^{21285013306590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21285013306590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33270473848320).

21285013306590 is an abundant number, since it is smaller than the sum of its proper divisors (45255934390050).

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

21285013306590 is a wasteful number, since it uses less digits than its factorization.

21285013306590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292184 (or 6292178 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 21285013306590 in words is "twenty-one trillion, two hundred eighty-five billion, thirteen million, three hundred six thousand, five hundred ninety".