827347918204080 has 5400 divisors, whose sum is σ = 3943961470654128. Its totient is φ = 159208677605376.

The previous prime is 827347918204001. The next prime is 827347918204099. The reversal of 827347918204080 is 80402819743728.

827347918204080 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 47 + 9 + 182 + 0 + 408 + 0 = 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 = 827347918203999 and 827347918204017.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 6514550536977 + ... + 6514550537103.

Almost surely, 2^{827347918204080} is an apocalyptic number.

827347918204080 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 827347918204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971980735327064).

827347918204080 is an abundant number, since it is smaller than the sum of its proper divisors (3116613552450048).

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

827347918204080 is a wasteful number, since it uses less digits than its factorization.

827347918204080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 827347918204080 in words is "eight hundred twenty-seven trillion, three hundred forty-seven billion, nine hundred eighteen million, two hundred four thousand, eighty".