10365788160 has 896 divisors, whose sum is σ = 45799004160. Its totient is φ = 2165833728.

The previous prime is 10365788123. The next prime is 10365788197. The reversal of 10365788160 is 6188756301.

10365788160 is a `hidden beast` number, since 10 + 3 + 6 + 578 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10365788123) and next prime (10365788197).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100638669 + ... + 100638771.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 2^10365788160 is an apocalyptic number.

10365788160 is a gapful number since it is divisible by the number (10) 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 10365788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899502080).

10365788160 is an abundant number, since it is smaller than the sum of its proper divisors (35433216000).

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

10365788160 is a wasteful number, since it uses less digits than its factorization.

10365788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10365788160 in words is "ten billion, three hundred sixty-five million, seven hundred eighty-eight thousand, one hundred sixty".