10188809690640 has 640 divisors, whose sum is σ = 38627584819200. Its totient is φ = 2171511767040.

The previous prime is 10188809690627. The next prime is 10188809690651. The reversal of 10188809690640 is 4609690888101.

It is a super-3 number, since 3×10188809690640³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244145296 + ... + 244187024.

It is an arithmetic number, because the mean of its divisors is an integer number (60355601280).

Almost surely, 2^{10188809690640} is an apocalyptic number.

10188809690640 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 10188809690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313792409600).

10188809690640 is an abundant number, since it is smaller than the sum of its proper divisors (28438775128560).

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

10188809690640 is a wasteful number, since it uses less digits than its factorization.

10188809690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41935 (or 41929 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 10188809690640 in words is "ten trillion, one hundred eighty-eight billion, eight hundred nine million, six hundred ninety thousand, six hundred forty".