1307081829690 has 864 divisors, whose sum is σ = 4586001878016. Its totient is φ = 252606781440.

The previous prime is 1307081829649. The next prime is 1307081829763. The reversal of 1307081829690 is 969281807031.

It is a super-2 number, since 2×1307081829690² (a number of 25 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 1191505222 + ... + 1191506318.

It is an arithmetic number, because the mean of its divisors is an integer number (5307872544).

Almost surely, 2^{1307081829690} is an apocalyptic number.

1307081829690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307081829690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293000939008).

1307081829690 is an abundant number, since it is smaller than the sum of its proper divisors (3278920048326).

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

1307081829690 is a wasteful number, since it uses less digits than its factorization.

1307081829690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1307081829690 in words is "one trillion, three hundred seven billion, eighty-one million, eight hundred twenty-nine thousand, six hundred ninety".