19979257635456 has 384 divisors, whose sum is σ = 64910193696000. Its totient is φ = 5421157539840.

The previous prime is 19979257635361. The next prime is 19979257635503. The reversal of 19979257635456 is 65453675297991.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32985385 + ... + 33585623.

It is an arithmetic number, because the mean of its divisors is an integer number (169036962750).

Almost surely, 2^{19979257635456} is an apocalyptic number.

19979257635456 is a gapful number since it is divisible by the number (16) 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 19979257635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455096848000).

19979257635456 is an abundant number, since it is smaller than the sum of its proper divisors (44930936060544).

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

19979257635456 is a wasteful number, since it uses less digits than its factorization.

19979257635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600360 (or 600341 counting only the distinct ones).

The product of its digits is 3857868000, while the sum is 78.

The spelling of 19979257635456 in words is "nineteen trillion, nine hundred seventy-nine billion, two hundred fifty-seven million, six hundred thirty-five thousand, four hundred fifty-six".