10952442692190 has 192 divisors, whose sum is σ = 30445130282112. Its totient is φ = 2724997017600.

The previous prime is 10952442692173. The next prime is 10952442692197. The reversal of 10952442692190 is 9129624425901.

10952442692190 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 2 + 442 + 6 + 9 + 2 + 190 = 666.

It is a super-2 number, since 2×10952442692190² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10952442692197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609103000 + ... + 609120980.

It is an arithmetic number, because the mean of its divisors is an integer number (158568386886).

Almost surely, 2^{10952442692190} is an apocalyptic number.

10952442692190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10952442692190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222565141056).

10952442692190 is an abundant number, since it is smaller than the sum of its proper divisors (19492687589922).

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

10952442692190 is a wasteful number, since it uses less digits than its factorization.

10952442692190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25235 (or 25232 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10952442692190 in words is "ten trillion, nine hundred fifty-two billion, four hundred forty-two million, six hundred ninety-two thousand, one hundred ninety".