827513153026560 has 8960 divisors, whose sum is σ = 4300303770943488. Its totient is φ = 146881747353600.

The previous prime is 827513153026559. The next prime is 827513153026589. The reversal of 827513153026560 is 65620351315728.

827513153026560 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 1 + 3 + 1 + 53 + 0 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (8960).

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

It is a junction number, because it is equal to n+sod(n) for n = 827513153026497 and 827513153026506.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 2254804231497 + ... + 2254804231863.

Almost surely, 2^{827513153026560} is an apocalyptic number.

827513153026560 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 827513153026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150151885471744).

827513153026560 is an abundant number, since it is smaller than the sum of its proper divisors (3472790617916928).

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

827513153026560 is a wasteful number, since it uses less digits than its factorization.

827513153026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 827513153026560 in words is "eight hundred twenty-seven trillion, five hundred thirteen billion, one hundred fifty-three million, twenty-six thousand, five hundred sixty".