10826074392000 has 224 divisors, whose sum is σ = 40854512225280. Its totient is φ = 2474531251200.

The previous prime is 10826074391981. The next prime is 10826074392011. The reversal of 10826074392000 is 29347062801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10826074392000² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32052460 + ... + 32388459.

Almost surely, 2^{10826074392000} is an apocalyptic number.

10826074392000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10826074392000 is an abundant number, since it is smaller than the sum of its proper divisors (30028437833280).

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

10826074392000 is an equidigital number, since it uses as much as digits as its factorization.

10826074392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64440956 (or 64440936 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10826074392000 in words is "ten trillion, eight hundred twenty-six billion, seventy-four million, three hundred ninety-two thousand".