1000083426000 has 160 divisors (see below), whose sum is σ = 3226175761536. Its totient is φ = 266531200000.

The previous prime is 1000083425981. The next prime is 1000083426019. The reversal of 1000083426000 is 6243800001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000083425981) and next prime (1000083426019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10277575 + ... + 10374425.

Almost surely, 2^{1000083426000} is an apocalyptic number.

1000083426000 is a gapful number since it is divisible by the number (10) 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 1000083426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613087880768).

1000083426000 is an abundant number, since it is smaller than the sum of its proper divisors (2226092335536).

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

1000083426000 is a wasteful number, since it uses less digits than its factorization.

1000083426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98598 (or 98582 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1000083426000 in words is "one trillion, eighty-three million, four hundred twenty-six thousand".