826194001920 has 600 divisors, whose sum is σ = 3121367389344. Its totient is φ = 186025771008.

The previous prime is 826194001879. The next prime is 826194001931. The reversal of 826194001920 is 29100491628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12331253727 + ... + 12331253793.

Almost surely, 2^826194001920 is an apocalyptic number.

826194001920 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 826194001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560683694672).

826194001920 is an abundant number, since it is smaller than the sum of its proper divisors (2295173387424).

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

826194001920 is an frugal number, since it uses more digits than its factorization.

826194001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 826194001920 in words is "eight hundred twenty-six billion, one hundred ninety-four million, one thousand, nine hundred twenty".