10007369856 has 288 divisors, whose sum is σ = 32837859600. Its totient is φ = 3031395840.

The previous prime is 10007369791. The next prime is 10007369881. The reversal of 10007369856 is 65896370001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762255 + ... + 3764913.

Almost surely, 2^10007369856 is an apocalyptic number.

10007369856 is a gapful number since it is divisible by the number (16) 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 10007369856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418929800).

10007369856 is an abundant number, since it is smaller than the sum of its proper divisors (22830489744).

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

10007369856 is an equidigital number, since it uses as much as digits as its factorization.

10007369856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10007369856 in words is "ten billion, seven million, three hundred sixty-nine thousand, eight hundred fifty-six".