10002093696 has 384 divisors, whose sum is σ = 35033980800. Its totient is φ = 2675441664.

The previous prime is 10002093691. The next prime is 10002093713. The reversal of 10002093696 is 69639020001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10002093696.

It is not an unprimeable number, because it can be changed into a prime (10002093691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14861616 + ... + 14862288.

It is an arithmetic number, because the mean of its divisors is an integer number (91234325).

Almost surely, 2^10002093696 is an apocalyptic number.

10002093696 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 10002093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516990400).

10002093696 is an abundant number, since it is smaller than the sum of its proper divisors (25031887104).

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

10002093696 is a wasteful number, since it uses less digits than its factorization.

10002093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 10002093696 in words is "ten billion, two million, ninety-three thousand, six hundred ninety-six".