21285756492030 has 48 divisors (see below), whose sum is σ = 56168981326224. Its totient is φ = 5591482300800.

The previous prime is 21285756492019. The next prime is 21285756492043. The reversal of 21285756492030 is 3029465758212.

21285756492030 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 57 + 564 + 9 + 20 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764982071 + ... + 1764994130.

It is an arithmetic number, because the mean of its divisors is an integer number (1170187110963).

It is a 1-persistent number, because it is pandigital, but 2⋅21285756492030 = 42571512984060 is not.

Almost surely, 2^{21285756492030} is an apocalyptic number.

21285756492030 is an abundant number, since it is smaller than the sum of its proper divisors (34883224834194).

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

21285756492030 is a wasteful number, since it uses less digits than its factorization.

21285756492030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529976281 (or 3529976278 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 21285756492030 in words is "twenty-one trillion, two hundred eighty-five billion, seven hundred fifty-six million, four hundred ninety-two thousand, thirty".