10188072000 has 448 divisors, whose sum is σ = 37829825280. Its totient is φ = 2684160000.

The previous prime is 10188071987. The next prime is 10188072007. The reversal of 10188072000 is 27088101.

It is a super-2 number, since 2×10188072000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188072007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21815767 + ... + 21816233.

Almost surely, 2^10188072000 is an apocalyptic number.

10188072000 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 10188072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914912640).

10188072000 is an abundant number, since it is smaller than the sum of its proper divisors (27641753280).

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

10188072000 is a wasteful number, since it uses less digits than its factorization.

10188072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10188072000 in words is "ten billion, one hundred eighty-eight million, seventy-two thousand".