10990186607400 has 1152 divisors, whose sum is σ = 46902939269760. Its totient is φ = 2092511232000.

The previous prime is 10990186607399. The next prime is 10990186607417. The reversal of 10990186607400 is 470668109901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 575965860 + ... + 575984940.

It is an arithmetic number, because the mean of its divisors is an integer number (40714357005).

Almost surely, 2^{10990186607400} is an apocalyptic number.

10990186607400 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 10990186607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451469634880).

10990186607400 is an abundant number, since it is smaller than the sum of its proper divisors (35912752662360).

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

10990186607400 is a wasteful number, since it uses less digits than its factorization.

10990186607400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275 (or 19259 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10990186607400 in words is "ten trillion, nine hundred ninety billion, one hundred eighty-six million, six hundred seven thousand, four hundred".