10309696801506 has 160 divisors (see below), whose sum is σ = 24230923960320. Its totient is φ = 3270103806816.

The previous prime is 10309696801501. The next prime is 10309696801513. The reversal of 10309696801506 is 60510869690301.

10309696801506 is a `hidden beast` number, since 10 + 3 + 0 + 9 + 69 + 68 + 0 + 1 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10309696801501) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1481487655 + ... + 1481494613.

It is an arithmetic number, because the mean of its divisors is an integer number (151443274752).

Almost surely, 2^{10309696801506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10309696801506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115461980160).

10309696801506 is an abundant number, since it is smaller than the sum of its proper divisors (13921227158814).

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

10309696801506 is a wasteful number, since it uses less digits than its factorization.

10309696801506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10309696801506 in words is "ten trillion, three hundred nine billion, six hundred ninety-six million, eight hundred one thousand, five hundred six".