10388016843120 has 800 divisors, whose sum is σ = 43469268074496. Its totient is φ = 2248906291200.

The previous prime is 10388016843119. The next prime is 10388016843163. The reversal of 10388016843120 is 2134861088301.

10388016843120 is a `hidden beast` number, since 1 + 0 + 38 + 8 + 0 + 168 + 431 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 66010930 + ... + 66168110.

Almost surely, 2^{10388016843120} is an apocalyptic number.

10388016843120 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 10388016843120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21734634037248).

10388016843120 is an abundant number, since it is smaller than the sum of its proper divisors (33081251231376).

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

10388016843120 is a wasteful number, since it uses less digits than its factorization.

10388016843120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157291 (or 157276 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10388016843120 in words is "ten trillion, three hundred eighty-eight billion, sixteen million, eight hundred forty-three thousand, one hundred twenty".