819497205072000 has 8192 divisors, whose sum is σ = 4048574939136000. Its totient is φ = 159127068672000.

The previous prime is 819497205071947. The next prime is 819497205072053. The reversal of 819497205072000 is 270502794918.

819497205072000 is a `hidden beast` number, since 8 + 1 + 9 + 4 + 97 + 20 + 507 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (819497205071947) and next prime (819497205072053).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 4736978063914 + ... + 4736978064086.

It is an arithmetic number, because the mean of its divisors is an integer number (494210808000).

Almost surely, 2^{819497205072000} is an apocalyptic number.

819497205072000 is a gapful number since it is divisible by the number (80) 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 819497205072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024287469568000).

819497205072000 is an abundant number, since it is smaller than the sum of its proper divisors (3229077734064000).

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

819497205072000 is a wasteful number, since it uses less digits than its factorization.

819497205072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 819497205072000 in words is "eight hundred nineteen trillion, four hundred ninety-seven billion, two hundred five million, seventy-two thousand".