826193020613376 has 432 divisors, whose sum is σ = 2390658498412800. Its totient is φ = 253186978037760.

The previous prime is 826193020613371. The next prime is 826193020613393. The reversal of 826193020613376 is 673316020391628.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (826193020613371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55744748046 + ... + 55744762866.

Almost surely, 2^{826193020613376} 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 826193020613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195329249206400).

826193020613376 is an abundant number, since it is smaller than the sum of its proper divisors (1564465477799424).

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

826193020613376 is a wasteful number, since it uses less digits than its factorization.

826193020613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16572 (or 16545 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 826193020613376 in words is "eight hundred twenty-six trillion, one hundred ninety-three billion, twenty million, six hundred thirteen thousand, three hundred seventy-six".