21259345033044 has 192 divisors, whose sum is σ = 59117143680000. Its totient is φ = 6586704542592.

The previous prime is 21259345033033. The next prime is 21259345033081. The reversal of 21259345033044 is 44033054395212.

21259345033044 is a `hidden beast` number, since 2 + 1 + 2 + 593 + 4 + 50 + 3 + 3 + 0 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61451119 + ... + 61796105.

It is an arithmetic number, because the mean of its divisors is an integer number (307901790000).

Almost surely, 2^{21259345033044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21259345033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29558571840000).

21259345033044 is an abundant number, since it is smaller than the sum of its proper divisors (37857798646956).

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

21259345033044 is a wasteful number, since it uses less digits than its factorization.

21259345033044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345587 (or 345579 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 21259345033044 in words is "twenty-one trillion, two hundred fifty-nine billion, three hundred forty-five million, thirty-three thousand, forty-four".