819895741056 has 1024 divisors, whose sum is σ = 3025728000000. Its totient is φ = 217811607552.

The previous prime is 819895741013. The next prime is 819895741081. The reversal of 819895741056 is 650147598918.

819895741056 is a `hidden beast` number, since 8 + 1 + 9 + 8 + 9 + 574 + 1 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 819895740984 and 819895741002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328842060 + ... + 1328842676.

It is an arithmetic number, because the mean of its divisors is an integer number (2954812500).

Almost surely, 2^819895741056 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 819895741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512864000000).

819895741056 is an abundant number, since it is smaller than the sum of its proper divisors (2205832258944).

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

819895741056 is a wasteful number, since it uses less digits than its factorization.

819895741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 819895741056 in words is "eight hundred nineteen billion, eight hundred ninety-five million, seven hundred forty-one thousand, fifty-six".