19827769162656 has 192 divisors, whose sum is σ = 64263616558848. Its totient is φ = 5212594003968.

The previous prime is 19827769162633. The next prime is 19827769162769. The reversal of 19827769162656 is 65626196772891.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891291 + ... + 6360026.

It is an arithmetic number, because the mean of its divisors is an integer number (334706336244).

Almost surely, 2^{19827769162656} is an apocalyptic number.

19827769162656 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 19827769162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32131808279424).

19827769162656 is an abundant number, since it is smaller than the sum of its proper divisors (44435847396192).

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

19827769162656 is a wasteful number, since it uses less digits than its factorization.

19827769162656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251663 (or 7251655 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 75.

The spelling of 19827769162656 in words is "nineteen trillion, eight hundred twenty-seven billion, seven hundred sixty-nine million, one hundred sixty-two thousand, six hundred fifty-six".