819747879552 has 896 divisors, whose sum is σ = 2909945139840. Its totient is φ = 225041670144.

The previous prime is 819747879481. The next prime is 819747879581. The reversal of 819747879552 is 255978747918.

819747879552 is a `hidden beast` number, since 8 + 19 + 7 + 478 + 7 + 95 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2585955298 + ... + 2585955614.

Almost surely, 2^819747879552 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 819747879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454972569920).

819747879552 is an abundant number, since it is smaller than the sum of its proper divisors (2090197260288).

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

819747879552 is a wasteful number, since it uses less digits than its factorization.

819747879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 72.

The spelling of 819747879552 in words is "eight hundred nineteen billion, seven hundred forty-seven million, eight hundred seventy-nine thousand, five hundred fifty-two".