1007726856248 has 64 divisors (see below), whose sum is σ = 2274876576000. Its totient is φ = 408826732032.

The previous prime is 1007726856247. The next prime is 1007726856263. The reversal of 1007726856248 is 8426586277001.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1007726856193 and 1007726856202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007726856247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 963440 + ... + 1715712.

It is an arithmetic number, because the mean of its divisors is an integer number (35544946500).

Almost surely, 2^{1007726856248} 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 1007726856248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137438288000).

1007726856248 is an abundant number, since it is smaller than the sum of its proper divisors (1267149719752).

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

1007726856248 is a wasteful number, since it uses less digits than its factorization.

1007726856248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753564 (or 753560 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 1007726856248 in words is "one trillion, seven billion, seven hundred twenty-six million, eight hundred fifty-six thousand, two hundred forty-eight".