84826395536652 has 1296 divisors, whose sum is σ = 295207390732800. Its totient is φ = 20046216960000.

The previous prime is 84826395536599. The next prime is 84826395536713. The reversal of 84826395536652 is 25663559362848.

84826395536652 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 6 + 3 + 9 + 553 + 6 + 65 + 2 = 666.

Its product of digits (2239488000) is a multiple of the sum of its prime factors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 84069767124 + ... + 84069768132.

Almost surely, 2^{84826395536652} 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 84826395536652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147603695366400).

84826395536652 is an abundant number, since it is smaller than the sum of its proper divisors (210380995196148).

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

84826395536652 is a wasteful number, since it uses less digits than its factorization.

84826395536652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1233 counting only the distinct ones).

The product of its digits is 2239488000, while the sum is 72.

The spelling of 84826395536652 in words is "eighty-four trillion, eight hundred twenty-six billion, three hundred ninety-five million, five hundred thirty-six thousand, six hundred fifty-two".