20619857643264 has 864 divisors, whose sum is σ = 67929113161728. Its totient is φ = 6186585600000.

The previous prime is 20619857643247. The next prime is 20619857643271. The reversal of 20619857643264 is 46234675891602.

20619857643264 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 98 + 57 + 6 + 432 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46545953827 + ... + 46545954269.

It is an arithmetic number, because the mean of its divisors is an integer number (78621658752).

It is a 1-persistent number, because it is pandigital, but 2⋅20619857643264 = 41239715286528 is not.

Almost surely, 2^{20619857643264} is an apocalyptic number.

20619857643264 is a gapful number since it is divisible by the number (24) 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 20619857643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33964556580864).

20619857643264 is an abundant number, since it is smaller than the sum of its proper divisors (47309255518464).

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

20619857643264 is a wasteful number, since it uses less digits than its factorization.

20619857643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20619857643264 in words is "twenty trillion, six hundred nineteen billion, eight hundred fifty-seven million, six hundred forty-three thousand, two hundred sixty-four".