10187486003200 has 684 divisors, whose sum is σ = 28792982209320. Its totient is φ = 3568723558400.

The previous prime is 10187486003179. The next prime is 10187486003209. The reversal of 10187486003200 is 230068478101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187486003209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22996582179 + ... + 22996582621.

It is an arithmetic number, because the mean of its divisors is an integer number (42095003230).

Almost surely, 2^{10187486003200} is an apocalyptic number.

10187486003200 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 10187486003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396491104660).

10187486003200 is an abundant number, since it is smaller than the sum of its proper divisors (18605496206120).

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

10187486003200 is an frugal number, since it uses more digits than its factorization.

10187486003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10187486003200 in words is "ten trillion, one hundred eighty-seven billion, four hundred eighty-six million, three thousand, two hundred".